Question 1

Which of the following planes is a two-dimensional surface composed by two number lines which are formed when a horizontal line and a vertical line intersect at a point called the origin?

Accepted Answer

both Cartesian plane and Coordinate plane

Answer

Cartesian plane

Answer

Coordinate plane

Question 2

Which among the choices is the directed distance of $\overline{\mathrm{BA}}$ where is located at $\left(8,2\right)$ and $B$ is located at $\left(15,2\right)$ ?

Accepted Answer

Answer

Answer

Answer

Question 3

Althea leaves her house to go to school. She walks $\overline{\mathrm{BA}}$ blocks North and then $\left(8,2\right)$ blocks west. How far is Althea from her house?

Accepted Answer

$-7$ blocks

Answer

$-7$ blocks

Answer

$-7$ blocks

Answer

$-7$ blocks

Question 4

What is the gradient of the line that passes through the points $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

Answer

Answer

Answer

Question 5

Which of the following is the slope of the line?

Accepted Answer

Answer

Answer

Answer

Question 6

A professional mountain climber is on a hike. After $\overline{\mathrm{BA}}$ hours he is at an altitude of $\left(8,2\right)$ feet. After $B$ hours, he is at an altitude of $\left(15,2\right)$ feet. What is the average rate of change?

Accepted Answer

Answer

Answer

Answer

Question 7

Which of the following set of points is collinear based on the figure on the right?

Accepted Answer

$-7$ , $R$ , and $I$

Answer

$-7$ , $R$ , and $I$

Answer

$-7$ , $R$ , and $I$

Answer

$-7$ , $R$ , and $I$

Question 8

Which of the following statements describes the points $\overline{\mathrm{BA}}$ , $\left(8,2\right)$ , $B$ and correctly?

Accepted Answer

The three points are collinear to each other and the slopes of each point to another is $-3$ .

Answer

The three points are collinear to each other and have the same slopes of $\overline{\mathrm{BA}}$ .

Answer

The three points are located on the same line hence they are called co-line to each other.

Answer

The three points are noncollinear and noncoplanar to each other.

Question 9

Which of the following points are collinear to each other?

Accepted Answer

multiplem:// $\overline{\mathrm{BA}}$ , $\left(8,2\right)$ , and $B$ : $\left(15,2\right)$ , $B\left(-6,9\right)$ , and $C\left(5,-1\right)$ : $A\left(12,4\right)$ , $B\left(16,15\right)$ and $C\left(25,11\right)$ : $A\left(5,3\right)$ , $B\left(8,-7\right)$ , and $\left(25,-13\right)$

Answer

and $\overline{\mathrm{BA}}$

Answer

and $\overline{\mathrm{BA}}$

Answer

and $\overline{\mathrm{BA}}$

Question 10

What is the measurement of the gradient of the line whose angle of inclination is equal to $\overline{\mathrm{BA}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 11

What is the measurement of the slope of the straight line whose angle of inclination is equal to $\overline{\mathrm{BA}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 12

What is the angle of the inclination of a straight line whose slope is equal to $\overline{\mathrm{BA}}$ ?

Accepted Answer

<math>30.96\degree</math>

Answer

<math>59.04\degree</math>

Answer

<math>59.36\degree</math>

Answer

<math>30.66\degree</math>

Question 13

What is the inclination of the line passing through $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>14.93\degree</math>

Answer

<math>76.05\degree</math>

Answer

<math>75.07\degree</math>

Answer

<math>4.57\degree</math>

Question 14

What is the measurement of the angle formed by the lines $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>45\degree</math>

Answer

<math>60\degree</math>

Answer

<math>35\degree</math>

Answer

<math>30\degree</math>

Question 15

What is the angle that the line $\overline{\mathrm{BA}}$ with the $\left(8,2\right)$ axis?

Accepted Answer

multiplem:// $\overline{\mathrm{BA}}$ : $\left(8,2\right)$ : $B$ : $\left(15,2\right)$

Answer

<math>74.77\degree</math>

Answer

<math>14.93\degree</math>

Answer

<math>4.57\degree</math>

Question 16

What is the midpoint of $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>\left(-\frac{3}{2},-\frac{5}{2}\right)</math>

Answer

<math>\left(\frac{5}{2},\frac{3}{2}\right)</math>

Answer

<math>\left(-\frac{5}{2},-\frac{3}{2}\right)</math>

Answer

<math>\left(\frac{3}{2},\frac{5}{2}\right)</math>

Question 17

Liam and John want to meet in the exact middle of the distance between their homes. Using the given coordinate plane on the right, where should Liam and John meet?

Accepted Answer

<math>\left(5,\frac{9}{2}\right)</math>

Answer

<math>\left(5,\frac{7}{2}\right)</math>

Answer

<math>\left(4,\frac{9}{2}\right)</math>

Answer

<math>\left(4,\frac{7}{2}\right)</math>

Question 18

What is the center of a circle whose diameter has endpoints $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>\left(2,-3\right)</math>

Answer

<math>\left(-2,-3\right)</math>

Answer

<math>\left(4,-6\right)</math>

Answer

<math>\left(-4,-6\right)</math>

Question 19

A given segment $\overline{\mathrm{BA}}$ is trisected and divided into three equal parts as illustrated by the figure below. Which of the following is the value of the unknown variable?

Accepted Answer

Answer

Answer

Answer

Question 20

What are the coordinates of $\overline{\mathrm{BA}}$ on $\left(8,2\right)$ such that the ratio of $B$ to $\left(15,2\right)$ is $B\left(-6,9\right)$ and the coordinates of the points are $C\left(5,-1\right)$ and $A\left(12,4\right)$ ?

Accepted Answer

<math>\left(-\frac{16}{3},\frac{8}{3}\right)</math>

Answer

<math>\left(-\frac{34}{6},\frac{28}{3}\right)</math>

Answer

<math>\left(-\frac{13}{6},\frac{7}{6}\right)</math>

Answer

<math>\left(\frac{28}{3},\frac{34}{3}\right)</math>

Question 21

If $\overline{\mathrm{BA}}$ is at $\left(8,2\right)$ and $B$ is at $\left(15,2\right)$ , which of the following choices are the coordinates of $B\left(-6,9\right)$ such that the ratio of $C\left(5,-1\right)$ to $A\left(12,4\right)$ is $B\left(16,15\right)$ ?

Accepted Answer

<math>\left(-2,2\right)</math>

Answer

<math>\left(2,-3\right)</math>

Answer

<math>\left(-2,-3\right)</math>

Answer

<math>\left(2,2\right)</math>

Question 22

What is the ratio in which the line segment joins the points $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ is divided by the $B$ axis?

Accepted Answer

Answer

Answer

Answer

Question 23

What is the equation of the line, in point-slope form, that passes through $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>\left(y-3\right)=-\frac{1}{2}\left(x+3\right)</math>

Answer

<math>\left(y+3\right)=-2\left(x-3\right)</math>

Answer

<math>\left(y-3\right)=-2\left(x+3\right)</math>

Answer

<math>\left(y+3\right)=-\frac{1}{2}\left(x-3\right)</math>

Question 24

Which of the following choices is the equation of the line in point-slope form, that passes through $\overline{\mathrm{BA}}$ and has a gradient of $\left(8,2\right)$ ?

Accepted Answer

<math>\left(y-6\right)=\frac{2}{5}\left(x-5\right)</math>

Answer

<math>\left(y-5\right)=\frac{2}{5}\left(x+6\right)</math>

Answer

<math>\left(y+6\right)=\frac{2}{5}\left(x-5\right)</math>

Answer

<math>\left(y-5\right)=\frac{2}{5}\left(x-6\right)</math>

Question 25

Which of the following is the standard form of $\overline{\mathrm{BA}}$ ? Use integer coefficients.

Accepted Answer

Answer

Answer

Answer

Question 26

Which of the following is the graph of the equation $\overline{\mathrm{BA}}$ ?

Accepted Answer

https://uploads.quizalize.com/a4fbf94a-6e3a-4f61-8b8e-406ca2cc3cab/question/754e7207eb4d8c271d4fb8cbf8a4f76759d4de70.png

Answer

https://uploads.quizalize.com/a4fbf94a-6e3a-4f61-8b8e-406ca2cc3cab/question/ff87347c48a9374a2f731e56eea335500c17104d.png

Answer

https://uploads.quizalize.com/a4fbf94a-6e3a-4f61-8b8e-406ca2cc3cab/question/db682789950d876be59353eff7f0db75ca18d289.png

Answer

https://uploads.quizalize.com/a4fbf94a-6e3a-4f61-8b8e-406ca2cc3cab/question/a59e6a63bcf99bebd13eeb4122796ace56e1a5e9.png

Question 27

Which of the following equation is illustrated by the graph?

Accepted Answer

Answer

Answer

Answer

Question 28

In $\overline{\mathrm{BA}}$ , which value represents the slope of a line perpendicular to the equation?

Accepted Answer

Answer

Answer

Answer

Question 29

Which equation is parallel to $\overline{\mathrm{BA}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 30

Which is an equation of the line perpendicular to $\overline{\mathrm{BA}}$ and passes through $\left(8,2\right)$ ?

Accepted Answer

Answer

Answer

Answer

Question 31

Find the determinants of

Accepted Answer

Answer

Answer

Answer

Question 32

Find the determinants of

Accepted Answer

Answer

Answer

Answer

Question 33

In a Cartesian coordinate, the vertices of a triangle are defined by the following points: $\overline{\mathrm{BA}}$ , $\left(8,2\right)$ and $B$ . What is the area?

Accepted Answer

<math>4\ squared\ units</math>

Answer

<math>6\ squared\ units</math>

Answer

<math>3\ squared\ units</math>

Answer

<math>5\ squared\ units</math>

Question 34

The area of a triangle with vertices $\overline{\mathrm{BA}}$ , $\left(8,2\right)$ and $B$ is .

Accepted Answer

<math>8\ squared\ units</math>

Answer

<math>6\ squared\ units</math>

Answer

<math>28\ squared\ units</math>

Answer

<math>16\ squared\ units</math>

Question 35

What is the solution to the system below?

Accepted Answer

<math>\left(-1,2\right)</math>

Answer

<math>\left(2,-1\right)</math>

Answer

<math>\left(-2,1\right)</math>

Answer

<math>\left(1,-2\right)</math>

Question 36

Jasmine is asked to solve the system of the linear equation below by the elimination method. Which of the following steps would be the best way to begin?

Accepted Answer

multiplem://Jasmine should multiply the first equation by $\overline{\mathrm{BA}}$ . : Jasmine should multiply the second equation by $\left(8,2\right)$ .

Answer

Jasmine should multiply the first equation by $\overline{\mathrm{BA}}$ and then the second equation should be multiplied by $\left(8,2\right)$ .

Answer

Jasmine should multiply the second equation by $\overline{\mathrm{BA}}$ .

Answer

Jasmine should multiply the first equation by $\overline{\mathrm{BA}}$ and then the second equation should be multiplied by $\left(8,2\right)$ .

Question 37

Which of the following is the perpendicular distance from the point $\overline{\mathrm{BA}}$ to the line $\left(8,2\right)$ ?

Accepted Answer

<math>2\ units</math>

Answer

<math>3\ units</math>

Answer

<math>4\ units</math>

Answer

Question 38

Which of the following is the distance between the given lines $\overline{\mathrm{BA}}$ and $\left(8,2\right)$ ?

Accepted Answer

<math>4\ units</math>

Answer

<math>3\ units</math>

Answer

<math>5\ units</math>

Answer

<math>6\ units</math>

Question 39

What is the equation of the family of lines through the point $\overline{\mathrm{BA}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 40

What is the equation of the family of lines that is perpendicular to $\overline{\mathrm{BA}}$ ?

Accepted Answer

multiplem:// $\overline{\mathrm{BA}}$ : $\left(8,2\right)$ : $B$ :, $\left(15,2\right)$

Answer

Answer

Answer

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