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:

To find the x-coordinate, plug the y-coordinate into the equation and solve from there.

(0 = 2/3x - 6) (6 = 2/3x) (18 = 2x) 9 = x

Answer 2

The value of x is 9 when y=0

x-coordinate is 9

Passing point (9,6)

Explanation:

We are given the equation of line
`y=(2)/(3)x-6`

The line passes through a point whose y-coordinate is 0.

We need to find x-coordinate of passing point whose y-coordinate is 0.

Put y=0 into the equation of line and solve for x

`0=(2)/(3)x-6`

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

`x=3* 3 = 9`

Passing point (9,6)

Hence, The value of x is 9 when y=0