## Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Question

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

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5 months 2021-08-15T14:11:54+00:00 2 Answers 33 views 0

## Answers ( )

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it – and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point – which is 3 – giving us y = 3.