The equation is in slope-intercept form is [tex]y = \dfrac{3}{5}x + 5[/tex].
We have to determine, y-8=3/5(x-5) write this equation in slope-intercept form.
According to the question,
Equation; [tex]y-8 = \dfrac{3}{5}(x-5)[/tex]
To determine the slope-intercept form of the given equation following all the steps given below.
The slope-intercept form of the equation is,
[tex]y-8 = \dfrac{3}{5}(x-5)\\\\5(y - 8) = 3(x-5)\\\\5y - 40 = 3x-15\\\\5y - 3x = -15+ 40\\\\5y - 3x = 25\\\\y - \dfrac{3}{5}x = 5\\\\y = \dfrac{3}{5}x + 5[/tex]
Hence, The equation is in slope-intercept form is [tex]y = \dfrac{3}{5}x + 5[/tex].
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