Question

A line is defined by the equation y=2/3 x -6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Answer 1

x=9

Explanation:

Use the equation of the line and let y=0. Then solve for x.

y=2/3x-6

Let y=0:

0=2/3x-6

Add six to both sides.

6=2/3x

Multiply both sides by 3/2.

3/2*6=x

x=9

Answer 2

x = 9

Explanation:

Substitute y = 0 into the equation and solve for x

`(2)/(3)` x - 6 = 0 ( add 6 to both sides )

`(2)/(3)` x = 6

Multiply both sides by 3 to clear the fraction

2x = 18 ( divide both sides by 2 )

x = 9

That is the x- coordinate of the point is 9