SOLUTION: Find the slope and y-intercept of the line that is perpendicular to y=3x−4 and passes through the point (6,−7) .
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Question 688021: Find the slope and y-intercept of the line that is perpendicular to y=3x−4 and passes through the point (6,−7) .
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The slope of the line is
The slope of any line which is perpendicular to
this line is
You can use the general point-slope formula
The slope is -1/3
The y-intercept is -5
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here's a plot of the 2 lines:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the slope and y-intercept of the line that is perpendicular to y=3x−4 and passes through the point (6,−7)
**
equation of a line: y=mx+b, m=slope, b=y-intercept
slope of given line=3
slope of perpendicular line=-1/3 (negative reciprocal)
equation:
y=-x/3+b
solve for b using coordinates of given point (6,-7)
-7=-6/3+b
-7=-2+b
b=-5
Equation of perpendicular line:
y=-x/3-5
slope of perpendicular line= -1/3
y-intercept of perpendicular line=-5
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