The line y = -8 is horizontal
The line perpendicular to the line y = -8 is vertical
The equation of the line perpendicular to the line y = -8 through
the point (-4 , -2) is x = -4
Step-by-step explanation:
Let us revise some notes about the vertical and horizontal lines
- The equation of a horizontal line passes through point (a , b) is y = b, because the y-coordinates of all points on the line are equal
- The equation of a vertical line passes through point (a , b) is x = a, because the x-coordinates of all points on the line are equal
- The horizontal line and the vertical line are perpendicular to each other
We need to find the equation of the line perpendicular to the line y = -8 through the point (-4 , -2)
∵ The equation of the given line is y = -8
∴ The given line is a horizontal line
The line y = -8 is horizontal
∵ The line y = -8 is a horizontal
∴ The line perpendicular to it must be vertical
The line perpendicular to the line y = -8 is vertical
∵ The equation of a vertical line is x = a, where a is the x-coordinate
of a point lies on the line
∵ The line perpendicular to the line y = -8 through the point (-4 , -2)
∴ a = -4
∴ The equation of the perpendicular line is x = -4
The equation of the line perpendicular to the line y = -8 through
the point (-4 , -2) is x = -4
Learn more:
You can learn more about the equation of a line in brainly.com/question/1284310
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