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Question

Consider the line y = -7x + 7. Find the equation of the line that is parallel to this line and passes through the point (5, 4) . Find the equation of the line that is perpendicular to this line and passes through the point (5,4)

Answer 1

y=-7x+7 has parallel lines with slope = -7

4=-7(5) + b

b= 4+35 = 39

y=-7x +39 is the parallel line through (5,4)

perpendicular lines have slopes with negative inverses = 1/7

y = x/7 +b

4 = 5/7 +b

28 =5 + 7b

7b =23

b= 23/7

y=x/7 +23/7 is the perpendicular line through (5,4)

4=5/7 +23/7 = 28/7 = 4