the coordinates of the point of intersection of the graphs of lines with
y=−2x+7 and y=0.5x−5.5
to find intersection we solve for x and y
We replace -2x+7 for y in the second equation
−2x+7 =0.5x−5.5
Subtract 0.5x from both sides
-2.5x + 7 = -5.5
Subtract 7 on both sides
-2.5x = -5.5 - 7
-2.5x = -12.5
divide by -2.5 from both sides
x = 5
Plug in 5 for x in y=−2x+7
y=−2(5)+7
y = -10 + 7
y = -3
The point of intersection is (5,-3)