Question

A line with a slope of 0 passes through the point (-15, 12). What is its equation in slope-intercept form?

Answer 1

We have to find the equation of a line in the slope-intercept form. We remember that it is given by:

`y=mx+b`

where m represents the slope, and b the y-intercept.

In this exercise, we are given the slope:

`m=0`

And that it passes through the point (-15,12). Replacing the slope onto the general form, and using the point, we get:

`\begin{gathered} 12=0(-15)+b \\ 12=0+b \\ 12=b \end{gathered}`

And thus, its y-intercept is 12. This means that the equation in the slope-form is given by:

`\begin{gathered} y=0x+12 \\ y=12 \end{gathered}`