Graph the line for y+1=−3/5(x−4)on the coordinate plane.

Inorder to the line, choose 2 y-intercepts, for example y1=0 and y2=1, then substitute each of them in the equation.
for y1 = 0:
0 + 1 = -3/5x + 12/4
3/5x = 12/4 - 1
3/5x = 2
x1 = 10/3
A(10/3;0)

for y2 = 1
1 + 1 = -3/5x + 12/5
3/5x = 12/5 - 2
3/5x = 2/5
x2 = 2/3
B(2/3;1)

Place the two resulting points exactly on the plane, and match them, then prolong the line.