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=
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 12 - ( - 15)}{ - 5 - ( - 1)} \\ m = \frac{15 - 12}{1 - 5} \\ m = - \frac{3}{4} [/tex]
y= -¾x +c
To find c, substitute a coordinate.
When x= -1, y= -15
[tex] - 15 = - \frac{3}{4} ( - 1) + c \\ c = - 15 - \frac{3}{4} \\ c = - 15\frac{3}{4} [/tex]
Thus the equation of the graph is
[tex]y = - \frac{3}{4} x - 15 \frac{3}{4} [/tex]
Therefore the answer is C.
