Question

no additional details were added for this assignment. unit exam: coordinate geometry find the equation of a line in slope - intercept form that is parallel to ( x = 5y - 10 ) and passes through the point ( (-5,8) ). use the keypad to enter the answer in the box provided. the equation of the line is

Explanation:

Step1: Find the slope of the given line

Rewrite \(x = 5y-10\) in slope - intercept form \(y=mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept).

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The slope \(m=\frac{1}{5}\). Parallel lines have the same slope.

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

We have \(m=\frac{1}{5}\), \(x_1=-5\), and \(y_1 = 8\).

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Answer:

\(y=\frac{1}{5}x + 9\)