Slope is -2/3, and (-6, -5) is on the line

Question

Write the equation of each line in slope-intercept form.

Answer 1

We can rewrite the point-slope form of a line to get the slope-intercept form

 

y = mx - mx₁ + y₁

 

where:

m = slope

(x₁ , y₁) = (-6, -5)

 

y = (-2/3)x - (-2/3)(-6) - 5

 

y = (-2/3)x - 4 - 5

 

y = (-2/3)x - 9

Answer 2

slope intercept form

y = mx+ b

 

given that m=-2/3

 

(x,y) =(-6.-5)

 

-5 =(-2/3)(-6) +b

 

-5 =4 +b

b=-9

 

so equation in slope intercept form is

 

y =(-2/3)x -9