Question

The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line?

Answer 1

(0, 22)

Explanation:

So you have the equation:

`y-1=-7(x-3)`

So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:

`y-1 = -7(0-3)`

`y-1 = -7(-3)`

`y-1=21`

`y=22`

So the y-intercept is at (0, 22)