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Question

In Problem, determine the equation of the line that satisfies the stated requirements. Put the equation in standard form.

The line passing through $(-2,5)$ and perpendicular to the vertical line passing through $(-1,4)$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Since the line that we are looking for is perpendicular to the vertical line passing through $(-1, 4)$, the line is a horizontal line with slope $m = 0$. The equation of a horizontal line is given by $y =k$. In this case, $k = 5$ since the line passes through $(-2 , 5)$. Therefore, the equation of the line is:

$\begin{equation} \begin{aligned} y & = k \\ y & = 5 \\ y - 5 & = 0 \end{aligned} \end{equation}$

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