Question

Find the point at which the line f(x) = -3x intersects the line g(x) = 5x - 8

Answer 1

(1, -3)

Explanation:

Set the line equations equal to each other:

-3x = 5x - 8

Solve for x:

-3x = 5x - 8

-8x = -8

x = 1

So, the lines will intersect at the x coordinate of 1.

Plug in 1 as x into one of the equations, to solve for the y coordinate:

f(x) = -3x

f(1) = -3(1)

= -3

So, the y coordinate of the intersection point is -3.

The point of intersection between the lines is (1, -3)