Question

Find an equation of the line passing through the point(−2, 2) and through the point of intersection of the lines 2x − y + 1 = 0 and 3x + y − 16 = 0.
Write your answer in the form
y = mx + b.

Answer 1

First, you need the point where the two lines cross.
That's the point where both their x and y values are the same on both.
Solve both lines as a system of equations, that'll get you the point of intersection.
Next, use that point and (-2,2) to get the slope.
And finally use the equation for a line.
y-y1=m(x-x1) to get the equation of the line.

Answer 2

Thank You so much! All the info is helpful!

Answer 3

fyi-On the last equation substitute only x1 and y1 with a point that passes through the line, and substitute m, but not x and y.
You will end up with an equation that has x and y on it. Solve for y to have in y=mx+b form

Answer 4

Okay forsure!