Question 1

Find the gradient of the line.

Accepted Answer

$\frac{5}{3}$

Answer

$\frac{2}{1}$

Answer

$\frac{3}{5}$

Answer

$\frac{9}{6}$

Question 2

Find the gradient of the line.

Accepted Answer

$-\frac{2}{5}$

Answer

$-\frac{1}{3}$

Answer

$\frac{2}{5}$

Answer

$-\frac{5}{2}$

Question 3

Find the gradient of the line containing the points: ( 3 , -6 ) & ( -3 , 8 )

Accepted Answer

$-\frac{7}{3}$

Answer

${0}$

Answer

$-\frac{7}{2}$

Answer

$\frac{7}{3}$

Question 4

Find the gradient of the line containing the points: ( 13 , 4 ) & ( 3 , -1 )

Accepted Answer

$\frac{1}{2}$

Answer

$-\frac{2}{1}$

Answer

$\frac{10}{5}$

Answer

$-\frac{1}{2}$

Question 5

Find the gradient of the line containing the points: ( -3 , -4 ) & ( 5 , -4 )

Accepted Answer

${0}$

Answer

${-8}$

Answer

${8}$

Answer

$undefined$

Question 6

Line $\overline{PQ}$  has a gradient of $2$. Find $a$ given you know: $P(1,5)$ & $Q(4,a)$.

Accepted Answer

$a=11$

Answer

$a=9$

Answer

$a=-11$

Answer

$a=8$

Question 7

Line $\overline{AB}$  has a gradient of $-4$. Find $a$ given you know: $A(a,6)$ & $B(0,-2)$.

Accepted Answer

$-2$

Answer

$-4$

Answer

$2$

Answer

$6$

Question 8

Line $\overline{MN}$  has a gradient of $\frac{2}{3}$. Find $a$ given you know: $M(-3,-4)$ & $N(15,a)$.

Accepted Answer

$8$

Answer

$6$

Answer

$10$

Answer

$-4$

Question 9

Identify the gradients as: Parallel, Perpendicular, or Neither$\rightarrow $ $8$ & $-8$

Accepted Answer

Neither

Answer

Perpendicular

Answer

Parallel

Question 10

Identify the gradients as: Parallel, Perpendicular, or Neither$\rightarrow $ $\frac{1}{3}$ & $3$

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 11

Identify the gradients as: Parallel, Perpendicular, or Neither$\rightarrow $ $6$ & $-\frac{2}{12}$

Accepted Answer

Perpendicular

Answer

Neither

Answer

Parallel

Question 12

Identify the gradients as: Parallel, Perpendicular, or Neither$\rightarrow $ $\frac{8}{2}$ & $-\frac{24}{6}$

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 13

Identify the gradients as: Parallel, Perpendicular, or Neither$\rightarrow $ $\frac{4}{6}$ & $\frac{6}{9}$

Accepted Answer

Parallel

Answer

Neither

Answer

Perpendicular

Question 14

Line $\overline{CD}$, $C(2,5)$ & $D(4,t)$, is perpendicular to a line with a gradient of $\frac{1}{4}$. Find $t$.

Accepted Answer

$t=-3$

Answer

$t=6$

Answer

$t=-10$

Answer

$t=3$

Question 15

Determine whether the following points are collinear: $X( -1 , 7 ), Y( 1 , 1 ) , Z( 4 , -8 )$.

Accepted Answer

Collinear

Answer

Not collinear

Question 16

Determine whether the following points are collinear: $A( -4 , 2 ), B( -1 , 3 ) , C( 5 , 6 )$.

Accepted Answer

Not collinear

Answer

Collinear

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