Answer:
y = -4.5x - 22
Step-by-step explanation:
The standard form of finding the equation of a line is expressed as y = mx+c
m is the slope
c is the y intercept
Get the slope:
m = y2-y1/x2-x1
Given the coordinates (-6,5) and (-4,-4)
m = -4-5/-4+6
m = -9/2
m = -4.5
Get the y-intercept
Substitute (-4,-4) and m = -4.5 into y = mx+c
-4 = -4.5(-4) + c
-4 = 18 + c
c = -4-18
c = -22
Get the required equation:
Recall that: y = mx+c
y = -4.5x - 22
Hence the required equation is y = -4.5x - 22
