Question 1

(1) Given P(-4,2) & Q(-2,0), find the distance of PQ.

Accepted Answer

$2.83$

Answer

$8$

Answer

$4.0$

Answer

$4.47$

Question 2

(2) Given P(-6,1) & Q(4,-4), find the midpoint of PQ.

Accepted Answer

$(-1,-\frac{3}{2})$

Answer

$(-2,-\frac{3}{2})$

Answer

$(-1,\frac{3}{2})$

Answer

$(-1,-3)$

Question 3

(3) Given P(-6,0) & Q(8,1), find the equation in general form.

Accepted Answer

$x-14y+6=0$

Answer

$-x+14y+6=0$

Answer

$x+14y+6=0$

Answer

$y=\frac{1}{14}x+\frac{3}{7}$

Question 4

(4) Does (5,-11) lie on the line of -2x+5y=-65?

Accepted Answer

Yes, because: -65=-65

Answer

No, because: 56$
e$-65

Answer

No, because: 14$
e$-14

Answer

Yes, because: 56=56

Question 5

(5) Find $a$ given the line joining ( a , 7 ) & ( 2 , -5 ) has a gradient of $\frac{3}{2}$.

Accepted Answer

$a=10$

Answer

$a=6$

Answer

$a=8$

Answer

$a=4$

Question 6

(6) M is the midpoint of CD. Find C if: $D(-2,-2)$ & $M(3,2)$.

Accepted Answer

$C(8,6)$

Answer

$C(6,4)$

Answer

$C(5,6)$

Answer

$C(6,8)$

Question 7

(7) Find the equation in general form of a line through $(-4,12)$ having a gradient of$\rightarrow$$-\frac{5}{2}$.

Accepted Answer

$5x+2y-4=0$

Answer

$-5x+2y-4=0$

Answer

$5x+2y+4=0$

Answer

$5x+2y-44=0$

Question 8

(8) Find the equation in gradient-intercept form of the perpendicular bisector of AB when A(2,4) & B(14,20).

Accepted Answer

$y=-\frac{3}{4}x+18$

Answer

$y=-\frac{3}{4}x+6$

Answer

$y=\frac{4}{3}x+21$

Answer

$y=-\frac{4}{3}x+\frac{4}{3}$

Question 9

Use gradient values to determine if the following points are collinear: A(-4,9) , B(-8,6) , & C(8,18).

Accepted Answer

Yes, because all line segments have a gradient of $\frac{3}{4}$

Answer

No, because the gradient values are: $\frac{3}{4}$,$\frac{3}{4}$,$\frac{5}{4}$

Answer

No, because the gradient values are: $\frac{4}{3}$,$\frac{4}{3}$,$\frac{6}{3}$

Answer

Yes, because all line segments have a gradient of $\frac{4}{3}$

Question 10

What is the equation of this line?

Accepted Answer

x = 2

Answer

x = -2

Answer

y = 2x

Answer

y = 2

Question 11

What is the equation of this line?

Accepted Answer

y = -2

Answer

y = -2x

Answer

x = -2

Answer

y = 2

Question 12

What is the equation of this line?

Accepted Answer

$y=-\frac{1}{3}x+1$

Answer

$y=\frac{1}{3}x+1$

Answer

$y=-\frac{1}{3}x+3$

Answer

$y=-\frac{1}{2}x+1$

Question 13

What is the equation of this line?

Accepted Answer

$y=\frac{2}{3}x+4$

Answer

$y=-\frac{2}{3}x+4$

Answer

$y=\frac{2}{3}x-6$

Answer

$y=-\frac{2}{3}x-6$

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