Posted by **S Rey** on Sunday, June 6, 2010 at 6:10pm.

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following.

Options

A)

The gradient of the line is 3.

B)

The gradient of the line is −3.

C)

The gradient of the line is

1/3.

D)

The equation of the line is y = −3x.

E)

The equation of the line is y =2x − 6.

F)

The line cuts the y-axis at y =3.

G)

The line passes through the origin.

H)

The line passes through the point (1, −1).

- Mathamatics -
**Damon**, Sunday, June 6, 2010 at 6:29pm
(−1, 3) and (2, −6)

(-6 -3)/(2+1) = slope(or gradient) = -9/3 = -3

therefore

y = -3 x + b

3 = -3(-1) + b

b = 0

so

y = -3x

this goes through (0,0)

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