Write an equation for the line that passes through (4,7) and is perpendicular to the line y=2/3x-1

st3he1d0t

st3he1d0t

Answered question

2022-09-06

Write an equation for the line that passes through (4,7) and is perpendicular to the line y=2/3x-1

Answer & Explanation

Krista Arroyo

Krista Arroyo

Beginner2022-09-07Added 4 answers

The slope of the line: y = 2 3 x - 1 is 2 3 .
The slope of any line perpendicular is the negative reciprocal: - 3 2
Use the point-slope form of the equation of a line to force the line through point (4,7):
y - 7 = - 3 2 ( x - 4 )
y - 7 = - 3 2 x + 12
y = - 3 2 x + 19

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