Write the equation of the line that is perpendicular to y = 7x - 3 and passes through the origin.

pedzenekO

pedzenekO

Answered question

2021-03-05

Write the equation of the line that is perpendicular to y = 7x - 3 and passes through the origin.

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-03-06Added 96 answers

Use the point-slope form of a line: y−y1=m(x−x1)
where mm is the slope and (x1,y1) is a point on the line.
Two lines are perpendicular if their slopes are negative reciprocals. The given line y=7x−3 has a slope of 7. So, the slope of the perpendicular line is:
m=(17)
Substitute (x1,y1)=(0,0), the origin, so that we have: y0=(17)(x0)
y=(17)x

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