Answer: [tex]y-0 = \frac{5}{6}(x+8)[/tex]
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Explanation:
Point-slope form is
[tex]y - y_1 = m(x - x_1)\\\\[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point the line goes through.
We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.
So,
[tex]y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\[/tex]
We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.
