Question

Draw the graphs of the lines below on the same grid to find the coordinates of the point of

intersection.
y = x
y = 3x - 4

Answer 1

(2,2) is the solution of the given lines.

Explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

Hence, the coordinates of the point of intersection is (2,2).