SOLUTION: find the slope of a line perpendicular to the line f(x)=-5x+9

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Question 224551: find the slope of a line perpendicular to the line f(x)=-5x+9
Answer by drj(1380) About Me  (Show Source):
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Find the slope of a line perpendicular to the line f(x)=-5x+9

Step 1. Two lines are perpendicular when their slopes are equal to -1. In equation form m1%2Am2=-1 where m1 is the given slope and m2 is the slope of the perpendicular line.

Step 2. The given line f%28x%29=y=-5x%2B9 is expressed in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b). Therefore, this line has a slope m1=-5

Step 3. Then -5%2Am2=-1 or m2=1%2F5 after dividing -5 to both sides of the equation.

Step 4. ANSWER: The slope of the perpendicular line is 1%2F5.

I hope the above steps and explanation were helpful.

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Respectfully,
Dr J