Question

Find the equation with given slope and given point. Write the equation in slope-intercept form m= -7/2, point (-8,-4)

Answer 1

In order to find the equation of the line, let's write the slope-intercept form below:

$y=mx+b$

Where m is the slope and b is the y-intercept.

So, using m = -7/2 and the point (x = -8, y = -4) in the equation, we have:

$\begin{gathered} -4=-\frac{7}{2}\left(-8\right)+b \\ -4=28+b \\ b=-4-28 \\ b=-32 \end{gathered}$

Therefore the equation is y = (-7/2)x - 32.