Question 1

What is the equation of a line that passes through the origin?

Accepted Answer

y = mx

Answer

y = bx

Answer

y = mx + q

Answer

y = mx² + q

Answer

y = ax + b

Question 2

Which of the following is true about a line passing through the origin?

Accepted Answer

It has a y-coordinate = 0

Answer

It has an x-coordinate = 0

Answer

It has a negative y-coordinate

Answer

It has a positive slope

Question 3

What is the slope of a line passing through the origin?

Accepted Answer

undefined

Answer

infinity

Answer

0

Answer

1

Answer

-1

Question 4

What is the geometric shape formed by a line passing through the origin?

Accepted Answer

A straight line

Answer

A square

Answer

A parabola

Answer

A circle

Question 5

A line passes through the origin and has a slope of 3. What is the equation of this line?

Accepted Answer

y = 3x

Answer

y = x + 3

Answer

y = 3x + q

Answer

y = 2x

Answer

y = 3x<SUP>2</SUP>

Question 6

Which of the following statements is true about a line passing through the origin in a Cartesian coordinate system?

Accepted Answer

It intersects both the x-axis and y-axis

Answer

It does not intersect any axis

Answer

It only intersects the x-axis

Answer

It only intersects the y-axis

Question 7

What is the slope of a line that is parallel to the y-axis?

Accepted Answer

infinity

Answer

0

Answer

undefined

Answer

1

Question 8

What is the equation of a line that passes through the origin and has a y-intercept of 4?

Accepted Answer

y = mx + 4

Answer

y = -mx - 4

Answer

y = mx - 4

Answer

y = -mx + 4

Question 9

Which quadrant(s) does a line passing through the origin lie in?

Accepted Answer

Quadrants I and III

Answer

Quadrants I and II

Answer

Quadrants II and III

Answer

Quadrants II and IV

Question 10

Which of the following statements is true about parallel lines?

Accepted Answer

They have the same slope.

Answer

They intersect at a right angle.

Answer

They have different slopes.

Answer

They have no intersection point.

Question 11

What is the slope of a horizontal line?

Accepted Answer

0

Answer

Infinity

Answer

1

Answer

undefined

Question 12

What is the formula to calculate the distance between two points in a coordinate system?

Accepted Answer

square root of ((x2 - x1)²+ (y2 - y1)²)

Answer

square root of ((x2 - x1) + (y2 - y1))

Answer

square root of ((x2 + x1)² + (y2 + y1)²)

Answer

square root of ((x2 - x1)² - (y2 - y1)²)

Question 13

What is the distance between two points (2, 4) and (-3, 1)?

Accepted Answer

5

Answer

2

Answer

7

Answer

3

Question 14

What is the distance between the points (1, -2) and (3, 4)?

Accepted Answer

6.32

Answer

5.40

Answer

7.24

Answer

2.83

Question 15

What is the distance between the points (-1, 3) and (5, -2)?

Accepted Answer

7.81

Answer

2.85

Answer

9.45

Answer

6.52

Question 16

What is the distance between the points (0, 0) and (9, 12)?

Accepted Answer

15

Answer

10

Answer

13

Answer

18

Question 17

What is the distance between the points (-3, 4) and (6, -1)?

Accepted Answer

10

Answer

15

Answer

7

Answer

12

Question 18

What is the distance between the points (2, -3) and (-4, 5)?

Accepted Answer

10

Answer

8

Answer

7

Answer

12

Question 19

What is the distance between the points (-2, 1) and (3, -5)?

Accepted Answer

7.81

Answer

2.85

Answer

6.52

Answer

9.45

Question 20

What is the formula to calculate the midpoint between two points in a coordinate system?

Accepted Answer

((x1 + x2)/2, (y1 + y2)/2)

Answer

((x1 - x2)/2, (y1 + y2)/2)

Answer

((x1 + x2)/2, (y2 - y1)/2)

Answer

((x2 - x1)/2, (y1 - y2)/2)

Question 21

What is the midpoint between the points (-3, 2) and (5, -4)?

Accepted Answer

(1, -1)

Answer

(0, 0)

Answer

(4, -2)

Answer

(2, -3)

Question 22

What does a negative angular coefficient indicate for a straight line?

Accepted Answer

A negative angular coefficient indicates a decreasing slope.

Answer

A negative angular coefficient has no significance for the slope of a line.

Answer

A negative angular coefficient indicates an increasing slope.

Answer

A negative angular coefficient indicates a horizontal slope.

Answer

A negative angular coefficient indicates a vertical slope.

Question 23

Which of the following can be the angular coefficient of a line with a positive slope?

Accepted Answer

The angular coefficient of a line with a positive slope can be any positive real number.

Answer

The angular coefficient of a line with a positive slope is always -1.

Answer

The angular coefficient of a line with a positive slope is always 1.

Answer

The angular coefficient of a line with a positive slope is always 0.

Answer

The angular coefficient of a line with a positive slope is always undefined.

Question 24

In a linear equation of the form y = mx + q, what does the 'm' represent?

Accepted Answer

In a linear equation of the form y = mx + q, 'm' represents the angular coefficient or slope of the line.

Answer

'm' represents the x-coordinate of the point where the line crosses the x-axis.

Answer

'm' represents the y-coordinate of the point where the line crosses the y-axis.

Answer

'm' represents the value of y when x is equal to 0.

Answer

'm' represents the rate of change (=variation) in the y-coordinates.

Question 25

Which of the following statements about the angular coefficient of a straight line is true?

Accepted Answer

The angular coefficient of a straight line is the same for any two points on the line.

Answer

The angular coefficient of a straight line can be calculated using the Pythagorean theorem.

Answer

The angular coefficient of a straight line is always positive.

Answer

The angular coefficient of a straight line depends on the coordinates of the first point.

Answer

The angular coefficient of a straight line is equal to the y-intercept of the line.

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