Answer:
Step-by-step explanation:
The equation of a line written in slope-intercept form should be written as : y = mx + b
where m is the slope and b is the y-intercept.
We can find the slope, m, using the 2 points given:
(y2 - y1) / (x2 - x1) = (-12 -6) / (5- -4)
m= -18/9
m = -2
Then we can use this slope and one of the two points to find the intercept. Either point is fine but let's use (-4 , 6):
y = -2x + b
6 = -2 * -4 + b
6 = 8 + b
6-8 = 8 + b -8
-2 = b
The final equation of the line is: y = -2x -2
