write an equation in point-slope form for the line through the given point with the slope.

(4,-6)m=3/5

Use

(y - y') = m (x - x')
where (x', y') are the coordinates of any point on the line, and m is the slope.

(y + 6) = (3/5) (x -4)
y = (3/5) x - (42/5)