how do i put slope of -2/3 through 5,-1 in slope intercept form

Question

this is a math question in algebra linear equations

Answer 1

First, put the equation in point-slope form and then solve for y to get slope-intercept form:

 

Point-slope form: y - (-1) = (-2/3)(x - 5)

 

Solve for y:  y + 1 = (-2/3)x + 10/3

 

                            y = (-2/3)x + 7/3