Hey there, Bunnies026!
To find the slope-intercept form, we need to isolate y of the given equation
[tex]y + 1 = \frac{4}{5} (x - 3)[/tex]
First, we distribute what's inside of the parenthesis by multiplying it with the number outside.
[tex]y + 1 = \frac{4}{5}x + \frac{12}{5} [/tex] (I multiplied [tex] \frac{4}{5} [/tex] by x and 3)
y = [tex] \frac{4}{5}x[/tex] + ([tex] \frac{12}{5} - \frac{5}{5} [/tex])
NOTE: [tex] \frac{5}{5} [/tex] is the same as 1 because 5 divided by 5 is 1
[tex]y = \frac{4}{5}x + \frac{7}{5} [/tex]
and that would be your slope-intercept form.
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