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?

Respuesta :

Answer:

12

Step-by-step explanation:

Equation of the line:

              y = [tex]\frac{2}{3} x[/tex] - 8 ;

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

          y = mx + c

If the y-coordinate is 0;

          0 =  [tex]\frac{2}{3} x[/tex] - 8

Add 8 to both sides;

        8 =  [tex]\frac{2}{3} x[/tex]

        24 = 2x

         x = 12

The x coordinate when y= 0 is 12.

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