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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