SOLUTION: Write an equation of the line passing through the point (-2,1) and the perpendicular to the line y=2x-5
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Question 1160030: Write an equation of the line passing through the point (-2,1) and the perpendicular to the line y=2x-5
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The equation of the given line is y=2x-5; its slope is 2.
The slope of a line perpendicular to the given line is the negative reciprocal of 2, which is -1/2.
The equation of the line is of the form y = (-1/2)x+c for some constant c. Find the value of c using the coordinates of the given point.
The equation of the line is y = (-1/2)x+0, or just y = (-1/2)x.
A graph of the given line (red) and the perpendicular line (green):
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
an equation of the line passing through the point (,) and the perpendicular to the line
will be: use point-slope formula
where is a slope, and coordinates of given point
since this line is perpendicular to the line whose slope is , your line will have a slope negative reciprocal which is
so
-> your answer
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