Question

write an equation in point-slope for, for the line through the given spot (4, -6); m = 3/5

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have the point (4, -6) and the slope m = 3/5. Substitute:

$y-(-6)=\dfrac{3}{5}(x-4)\\\\\boxed{y+6=\dfrac{3}{5}(x-4)}$