SOLUTION: write an equation for each line. Then Graph thr line
through (-3,-1) and perpendicular to {{{y=-(2/5)x-4}}}
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Question 51217This question is from textbook Prentice Hall Mathematics Algebra 2
: write an equation for each line. Then Graph thr line
through (-3,-1) and perpendicular to
This question is from textbook Prentice Hall Mathematics Algebra 2
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
We know the slope of the first line is because its equation is in the form y=mx+b. By definition, the slopes of two perpendicular lines are negative reciprocals of each other. So the negative reciprocal of becomes , which is the slope to the perpendicular line. We now have the slope and a point (-3,-1) for the perpendicular line, so we can compute it via substitution into , thusly: . This reduces to . Now we add to both sides to produce . That means the equation for the perpendicular line is .
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