Question

A line is defined by the equation y=2/3x-8. The line passes through a point whose y- coordinate is 0. What is the x-coordinates of this point?

Answer 1

12

Explanation:

Equation of the line:

y =
`(2)/(3) x` - 8 ;

In slope intercept format, the equation of a line is :

y = mx + c

If the y-coordinate is 0;

0 =
`(2)/(3) x` - 8

Add 8 to both sides;

8 =
`(2)/(3) x`

24 = 2x

x = 12

The x coordinate when y= 0 is 12.