Answer and Step-by-step explanation:
First off, write the equation in slope intercept form.
y = [tex]-\frac{2}{3} x + 2[/tex]
(3, 0) is the x intercept, so when we go up 2 and left 3 (opposite of the slope, since we want to find the y-intercept), we get a y-intercept of 2.
Now, you put this equation into point-slope form.
Subtract 2 from both sides of the equation.
[tex]y - 2 = -\frac{2}{3} x[/tex]
2 represents [tex]y_{1}[/tex], and the 0 will represent [tex]x_{1}[/tex]. This is because when you plug in 0 for x, you get 2 as the result.
So, the equation should be:
[tex]y - 2 = -\frac{2}{3} (x + 0)[/tex]
Hope this helps!
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