Question 624655: write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the slope intercept equation for the line that passes through (-8,11) and is perpendicular to
2x -7y=14
form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
7y=2x-14
y=2x/7-2
slope of given line=2/7
slope of perpendicular line=-7/2 (negative reciprocal)
equation: y=-7x/2+b
solving for b using coordinates of given point(-8,11)
11=(-7*-8)/2+b
11=56/2+b
11=28+b
b=-17
Equation of line perpendicular to given line: y=-7x/2-17
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