Find the equation of the line perpendicular to y=2x/7 that passes through (−2,9)

Aydin Jarvis

Aydin Jarvis

Answered question

2022-10-14

Find the equation of the line perpendicular to y = 2 7 x that passes through (−2,9)

Answer & Explanation

jbaekk7q

jbaekk7q

Beginner2022-10-15Added 18 answers

the equation of a line in slope-intercept form is.
y=mx+b
where m is the slope and b the y-intercept
y = 2 7 x  is in this form 
with slope m  = 2 7  and  b = 0 
given the equation of a line with slope m then the equation of a line perpendicular to it is
 x m perpendicular = - 1 m 
 m perpendicular = - 1 2 7 = - 7 2 
 y = - 7 2 x + b  is the partial equation 
to find b substitute (−2,9) into the partial equation
9 = 7 + b  b = 9 - 7 = 2 
 y = - 7 2 x + 2  perpendicular equation 

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