Problem

$P(-6,-8) ;$ slope $\frac{5}{4}$

Answer

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Answer

\(\boxed{y = \frac{5}{4}x - \frac{1}{2}}\) is the final answer.

Steps

Step 1 :Given a point P(-6,-8) and a slope of \(\frac{5}{4}\).

Step 2 :The general form of a line is \(y = mx + b\), where m is the slope and b is the y-intercept.

Step 3 :Substitute the given point into this equation to solve for b.

Step 4 :We get m = 1.25 and b = -0.5.

Step 5 :Now that we have the y-intercept, we can write the equation of the line in slope-intercept form.

Step 6 :We get m = 1.25 and b = -0.5.

Step 7 :The equation of the line is \(y = 1.25x - 0.5\).

Step 8 :\(\boxed{y = \frac{5}{4}x - \frac{1}{2}}\) is the final answer.

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