Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.

(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)

2-5/6-(-3)

-3/9

-1/3 is the slope

y - y1 = m(x -x1) (this is point slope form)

y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)

y -5 = -1/3x -1  (you get to slope intercept form by solving from point slope)

y = -1/3x +4 (this is slope intercept form)

Step-by-step explanation: