Question

(0,-5), m=3/2
a) find the equation of the line
b) find three other points that go through the line

Answer 1

a. y=3/2x-5

Answer 2

To avoid ambiguity, I would put it as:
a. y = (3/2)x - 5

b. Write the line as
y=f(x)=(3/2)x - 5
Then f(0) = (3/2)*0 - 5 = -5
(0,-5) is on the line.
Since f(-1)=-13/2 and f(1) = -7/2
we conclude that (-1,-13/2) and (1,-7/2) are two other points on the line.
You can surely find another point on the line working along the same line.