Question

I am having trouble with this question

Answer 1

C

Explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Gradient=

`(y1 - y2)/(x1 - x2)`

`m = ( - 12 - ( - 15))/( - 5 - ( - 1)) \\ m = (15 - 12)/(1 - 5) \\ m = - (3)/(4)`

y= -¾x +c

To find c, substitute a coordinate.

When x= -1, y= -15

`- 15 = - (3)/(4) ( - 1) + c \\ c = - 15 - (3)/(4) \\ c = - 15(3)/(4)`

Thus the equation of the graph is

`y = - (3)/(4) x - 15 (3)/(4)`

Therefore the answer is C.