Respuesta :

ANSWER:

[tex]y=-\frac{3}{4}x+6[/tex]

STEP-BY-STEP EXPLANATION:

The equation of the line in its slope and intercept form is as follows:

[tex]\begin{gathered} y=mx+b \\ \text{ where, m is the slope and b is y-intercept } \end{gathered}[/tex]

We know the slope, we can calculate from b, with the help of the point (8, 0) like this:

[tex]\begin{gathered} 0=8\cdot-\frac{3}{4}+b \\ b=6 \end{gathered}[/tex]

Therefore, the equation of the line would be:

[tex]y=-\frac{3}{4}x+6[/tex]