Write an equation in slope-intercept form of the line that passes through the points ( − 4 , 6 ) and ( 5 , − 12 )

Answer 1

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