How do you solve for the "y-intercept" when a point and slope is given?

Question

Ex: -9,4 with the slope of 7, what is the y-intercept?

Is there an equation I could use.

Answer 1

First you can write the equation in the form of y = mx + b where m = slope and b = y-intercept by plugging in the given point and the slope and solving for b.

y = mx + b

4 = 7(-9) + b

4 = -63 + b

4 + 63 = b

67 = b

The y-intercept is (0,67)