Explanation:
For this problem, you'll need two formulas:
Slope: y1 - y2/x1 - x2
Point Slope: y - y1 = m(x - x1)
First thing you need to use is the slope formula.
Plugging in your coordinates gives you:
=
You can simplify this by getting rid of the negatives since two negatives make a positive.
Now to use the point slope formula.
For this formula, the slope we just found,
, replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).
I'll be using the point (2,3). Now plug everything in:
First thing you should do is distribute the
:
Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:
Hope this was helpful, good luck :)