Question

Find the equation that passes the point (-2, -5) that is perpendicular to the line x=-1

Answer 1

The equation of the line that passes the point (-2 , -5) and perpendicular to the line x = -1 is y = -5

Step-by-step explanation:

Let us revise the equations of the horizontal and vertical lines

• If a horizontal line passes through point (a , b), then its equation is y = b, that means all the points on the line have equal y-coordinates
• If a vertical line passes through point (a , b), then its equation is x = a, that means all the points on the line have equal x-coordinates

∵ The equation of the given line is x = -1

- That means the line is vertical and the x-coordinate of all

  points on it = -1

∴ The given line is a vertical line

∵ The line is perpendicular to the given line

- That means the perpendicular line is a horizontal line

   because the perpendicular to vertical must be horizontal

∴ The perpendicular line is a horizontal line

∵ The equation of the horizontal line is y = b, where b is

   the y-coordinate of any point on the line

∵ The perpendicular line passes through point (-2 , -5)

- The y-coordinate is -5

∴ b = -5

∴ The equation of the perpendicular line is y = -5

The equation of the line that passes the point (-2 , -5) and perpendicular to the line x = -1 is y = -5

Learn more:

You can learn more about the equation of a line in brainly.com/question/1284310

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