Question

Point slope form Write the equation of the line and point slope form identify(x1, y1) as the point (-2, -1). Use the box Provided to submit all of your calculations and final answers

Answer 1

$y+1=\frac{1}{2}(x+2)$

1) Since this is a Point-slope form, we'll start from this:

$\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-(-1)=m(x-(-2)) \\ \\ y+1=m(x+2) \\ \\ \end{gathered}$

2) Note that we still don't know the slope. We'll need it. So, let's find the slope of this line:

$m=\frac{1-(-1)}{2-(-2)}=\frac{2}{4}=\frac{1}{2}$

3) Now, let's plug the slope we've just found into the Point-Slope formula:

$y+1=\frac{1}{2}(x+2)$