Question

A line is defined by the equation y=2/3x-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

y = (2/3).x - 6. If y=0, then 0= (2/3).x - 6. Solve for x:

2x/3 - 6 = 0
Same denominator:
(2x - 18)/3 = 0
2x - 18 = 0
2x = 18 and x = 9 (x-coordinate)