A and I Lines 1

Line L1 passes through the points A(−3, 0.5) and B(9, −3.5).

Line L2 passes through the point C(3, 1) and is parallel to L1.

Find the gradient of L1.

• $-\frac{1}{3}$

• $\frac{1}{3}$

• $-3$

• 3

Line L1 has gradient  $-\frac{1}{3}$  . Line L2 passes through the point C(3, 1) and is parallel to L1. Determine the equation of L2. Give your answer in the form ax+by+d=0, where a, b and d are integers.

•  $y=-\frac{1}{3}x+2$  

•  $\frac{1}{3}x+y-2=0$  

•  $x+3y+1=0$  

•  $x+3y-6=0$  

The equation of a line is  $x+3y-6=0$  . Find the coordinates of the  $x$ - intercept of the line.

• (2, 0)

• (0, 6)

•  $x=6$  

• (6, 0)

Line L has a y-intercept at (0, 3) and an x-intercept at (4, 0). Find the gradient of line L.

• $-\frac{3}{4}$

• $\frac{3}{4}$

• $-\frac{4}{3}$

• $\frac{4}{3}$

Line L has a y-intercept at (0, 3) and an x-intercept at (4, 0). Write down the equation of L in the form  $y=mx+c$  . 

•  $y=\frac{3}{4}x+3$  

•  $y=\frac{4}{3}x+3$  

•  $y=-\frac{3}{4}x+3$  

•  $y=-\frac{4}{3}x+3$  

Line L has a y-intercept at (0, 3) and an x-intercept at (4, 0). Line N is perpendicular to L, and passes through point P(2, 1). Write down the gradient of N.

• $\frac{4}{3}x$

• $\frac{4}{3}$

• $-\frac{3}{4}$

• $-\frac{3}{4}x$

Line L has a y-intercept at (0, 3) and an x-intercept at (4, 0). Line N is perpendicular to L, and passes through point    P(2, 1). Write down the gradient of N. Find the equation of N in the form  $y=mx+c$  .

•  $y=\frac{4}{3}x+1$  

•  $y=-\frac{4}{3}x+\frac{5}{3}$  

•  $y=\frac{4}{3}x-\frac{5}{3}$  

•  $y=-\frac{4}{3}x-\frac{5}{3}$  

A triangle has vertices at points A(3 , 9), B(15 , 6) and C(5 , 3). Calculate the gradient of the line AC.

• $-3$

• $3$

• $-\frac{1}{3}$

• $\frac{1}{3}$

A triangle has vertices at points A(3 , 9), B(15 , 6) and C(5 , 3). Calculate the gradient of the line AC. Determine whether line BC is perpendicular to AC.

• Yes

• No.

A triangle has vertices at points A(3 , 9), B(15 , 6) and C(5 , 3). The straight line, L, is parallel to BC and passes through A.

Find the equation of L. Give your answer in the form ax + by + d = 0, where a, b and d are integers.

• $3x+10y+81=0$

• $-0.3x+y+8.1=0$

• $x-\frac{10}{3}y+27=0$

• $3x-10y+81=0$