5. write the equation of a lone that includes the point (-4, 0) and has a slope of -3/5 in slope-intercept form.
a) y = -3/5x – 12/5
b) y = -3/5x – 12
c) y = -3/5x – 5
d) y = -3/5x + 12/5

Slope - intercept form: y = mx + b where m is the slope and b is the y-intercept.

They want the equation with a slope of -3/5 so

y = -3/5x + b

Now to find the y-intercept, you plug in the ordered pair (-4, 0) and solve for b

0 = -3/5 * -4 + b
0 = 12/5 + b
-12/5 = b

So the answer is A) y = -3/5x - 12/5