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find the equation of the line written in point - slope form with the gi…

Question

find the equation of the line written in point - slope form with the given slope and passes through the given point. use x as the independent variable.
slope = 5
point = (13, -13)

Explanation:

Step1: Recall point-slope formula

The point-slope form of a line is $y - y_1 = m(x - x_1)$, where $m$ is the slope, and $(x_1, y_1)$ is the given point.

Step2: Substitute given values

Substitute $m=5$, $x_1=13$, $y_1=-13$ into the formula:
$y - (-13) = 5(x - 13)$

Step3: Simplify the left-hand side

$y + 13 = 5(x - 13)$

Answer:

$y + 13 = 5(x - 13)$