Question

How do you solve to get the y-intercept? I know how to get the slope but not the y-intercept.

Answer 1

If you know the slope and one point (x,y) of a linear equation to find the y-intercept you use the next equation (general equation for a linea):

`y=mx+b`

b is the y-intercept

Then, you use the value of the slope (m) and the value of the point (x,y) and substitute those values in the equation above to find b.

Example:

If the slope is 4

Point (4, 5)

`\begin{gathered} 5=4\cdot4+b \\ 5=16+b \\ 5-16=b \\ -11=b \end{gathered}`

y intercept for the example is -11