Question

(-7, -8) slope = 1/2Write a linear equation in the slope-intercept form given each point and slope

Answer 1

The slope-intercept form is:

y = mx + b

Where

m is the slope

b is the y-intercept

Given Slope = 1/2, we can write:

$y=\frac{1}{2}x+b$

Now, to find b, we put the point given (-7, -8), so:

$\begin{gathered} y=\frac{1}{2}x+b \\ -8=\frac{1}{2}(-7)+b \\ -8=-\frac{7}{2}+b \\ b=-8+\frac{7}{2} \\ b=\frac{-8(2)+7}{2} \\ b=\frac{-16+7}{2} \\ b=\frac{-9}{2} \end{gathered}$

Thus, we have the final equation as:

$y=\frac{1}{2}x-\frac{9}{2}$