Find the equation of the line perpendicular to y=−5/9x that passes through (−7,3)

meebuigenzg 2022-10-02 Answered
Find the equation of the line perpendicular to y = - 5 9 x that passes through (−7,3)
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Answers (1)

Brendan Bradley
Answered 2022-10-03 Author has 11 answers
One of the forms of the equation of a straight line is y = mx + c where m represents the gradient and c , the y-intercept.
the line y = - 5 9 x
is in this form with c = 0 and m = - 5 9
When 2 lines are perpendicular then the product of their gradients :
m 1 m 2 = - 1
The gradient of the perpendicular line is : - 5 9 × m 2 = - 1
m 2 = - 1 - 5 9 = 9 5
equation : y - b = m(x - a ) , m = 9 5 , ( a , b ) = ( - 7 , 3 )
y - 3 = 9 5 ( x - 7 )
multiply both sides by 5 to eliminate fraction : 5 y - 15 = 9 x - 63
equation of perpendicular line is 5y - 9x + 48 = 0
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