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Find the equation for the line that passes through the point (2,-5) and that is perpendicular to the line with the equation x=3

Find The Equation For The Line That Passes Through The Point 25 And That Is Perpendicular To The Line With The Equation X3 class=

Sagot :

The line of the equation x=3 is a vertical line with a constant x-value.

The lines that are perpendicular to vertical lines are horizontal lines. So, you have to find the equation for a horizontal line that passes through the point (2,-5) and crosses the line x=3.

Horizontal lines have the same value of y, regardless of the value of x. Knowing one point of this line allows you to determine the equation since the y-coordinate of the said point will be equal to the equation of the horizontal line. In this case, the y-coordinate of the point is -5, which means that the equation of the horizontal line is:

[tex]y=-5[/tex]

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