Question

Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection. y + 5 = 2 x y = 7 − 2 x

Answer 1

The point of intersection is (3,1)

Explanation:

Manipulate these equations to achieve the form of y = mx + c

1) y + 5 = 2x

Y = 2x - 5

2) y = 7 - 2x

Y = -2x + 7

Point of intersection is (3,1) on the graph attached

To check algebraically:

2x - 5 = -2x + 7

4x = 12

X = 3

Substitute to get y

Y = 2x - 5

Y = 2 x 3 - 5

Y = 1

Therefore (3,1)