What is the y-intercept of the line y=8/2x+15 that goes through the point(-6,-4

Answer 1

I am going to assume here that this is (8/2)*x + 15 = y.

The y- intercept of a line in which you are given the whole equation is simple to calculate. You don't need the second part of the question, just the equation.

First, let us try to understand what y-intercept means. Y-intercept means that when you graph that equation, the value of Y when the X-value is 0 is the y-intercept. Now let us translate this to the equation.

Here you can see I put in 0 where there was x. The reason I substitude 0 for x is because of what I just mentioned, the y-intercept is the value of y when x is 0.

(8/2) * 0 + 15 = y

Now if we multiply that out, we get:

0 + 15 = y

Therefore

y = 15

15 is therefore the y-intercept or the value at which x is 0.