Write equations in slope-intercept form for three different lines that intersect at (–2, 3). show your work.

Y-3=m(x+2) for different values of m.
Any 3 values of m will do, so pick m=-1, 0 and 1:
y-3=-x-2 which is the same as y=-x+1
y-3=0 same as y=3 (this is a horizontal line at y=3 for all values of x)
y-3=x+2 same as y=x+5
They all intersect at the given point.