Answer:
(4, 12)
Explanation:
When the two lines intersect on a graph, it is when you can put the same value for "x" into both equations, and the same value for "y" into both equations.
Because they both equal "y", and y = y, you can equate the expressions together.
y = y
2x + 4 = 2.50x + 2
Now the goal is to move all the numbers with "x" to the left. Move the the numbers to the right side. (This is called isolating "x" because it will be alone).
2x + 4 - 4 = 2.50x + 2 - 4 Subtract 4 from both sides
2x = 2.50x - 2
2x - 2.50x = 2.50x - 2.50x - 2 Subtract 2.50x from both sides
-0.50x = -2
-0.50x/-0.50 = -2/-0.50 Divide both sides by -0.50
x = 4 Found "x" coordinate
Choose one of the original equations. Change "x" to 4 (called substitution).
y = 2x + 4
y = 2(4) + 4 Multiply first
y = 8 + 4 Add
y = 12 Found "y" coordinate
Now write the coordinates like an ordered pair (x, y).
The lines intersect at (4, 12).