Answer:
y= -4x+7
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.
Let's find the gradient of the line first.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Using the above formula,
[tex]m = \frac{11 - ( - 5)}{ - 1 - 3} \\ m = \frac{11 + 5}{ - 4} \\ m = \frac{16}{ - 4} \\ m = - 4[/tex]
Susbt. m= -4 into the equation:
y= -4x +c
Subst. a coordinate to find c.
When x=3, y= -5,
-5= -4(3) +c
-5= -12 +c
c= 12 -5
c=7
Thus the equation of the line is y= -4x +7.
