# What is the slope intercept form of the line passing through (4,-8)  with a slope of 5/4 ?

Feb 22, 2016

So we know that the slope is $\frac{5}{4}$

We can plug that into the equation $y = m x + b$ because the m represents the slope

So now we have $y = \frac{5}{4} x + b$

We also know one coordinate, and that is all that we need.

Plug that coordinate into the equation and we are now solving for one variable, $b$

So, we have $- 8 = \frac{5}{4} \left(4\right) + b$ by plugging in the coordinate pair

Then we have $- 8 = 5 + b$
Move the $5$ over and we have $b = - 13$

Thus, our equation is $y = \frac{5}{4} x - 13$

And we are done.
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