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=(1)/(2)x+b`

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

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

Thus, we have the final equation as:

`y=(1)/(2)x-(9)/(2)`