Question

Write the equation of a line, in slope-intercept form, that has a slope of m= -2 and y-interceptof b = -8.Y=

Answer 1

Explanation

We are given the following:

`\begin{gathered} slope(m)=-2 \\ y\text{ }intercept(b)=-8 \end{gathered}`

We are required to determine the equation of the line in the slope-intercept form.

We know that the equation of a line in slope-intercept form is given as:

`\begin{gathered} y=mx+b \\ where \\ m=slope \\ b=y\text{ }intercept \end{gathered}`

Therefore, we have:

`\begin{gathered} y=mx+b \\ where \\ m=-2\text{ }and\text{ }b=-8 \\ y=-2x+(-8) \\ y=-2x-8 \end{gathered}`

Hence, the answer is:

`y=-2x-8`