Find the equation for the line that passes through ( 5 , 9 ) that has slope − 8 3 . Give your answer in point-slope form. You do not need to simplify.

Answer 1

The slope of a line is m = -8/3 , known points, (5,9)

 

The point-slope form of a straight line is:

 

y - y₁ = m(x - x₁)

 

Where (x₁,y₁) is a known point on the line, plug in given known values

 

y - (9) = -8/3*(x-5)

 

y -9 = -8x/3+40/3

 

y = -8x/3+40/3+9

y= -8x/3+67/3

 

Answer 2

(y-5)/(x-9)= -8/3

slope = "rise over run" or the change in y coordinates over the corresponding change in x coordinates