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?

12

Step-by-step explanation:

Equation of the line:

              y = - 8 ;

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

          y = mx + c

If the y-coordinate is 0;

          0 =   - 8

Add 8 to both sides;

        8 =  

        24 = 2x

         x = 12

The x coordinate when y= 0 is 12.

x/3-10=8

x/3=18

x=48