Question

I am having trouble with this question

Answer 1

Answer:

C

Step-by-step 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=

$\frac{y1 - y2}{x1 - x2}$

$m = \frac{ - 12 - ( - 15)}{ - 5 - ( - 1)} \\ m = \frac{15 - 12}{1 - 5} \\ m = - \frac{3}{4}$

y= -¾x +c

To find c, substitute a coordinate.

When x= -1, y= -15

$- 15 = - \frac{3}{4} ( - 1) + c \\ c = - 15 - \frac{3}{4} \\ c = - 15\frac{3}{4}$

Thus the equation of the graph is

$y = - \frac{3}{4} x - 15 \frac{3}{4}$

Therefore the answer is C.