244,499 views
39 votes
39 votes
Write the equation of a line that is perpendicular to y=-2/7x + 9 and that passes through the point (-4,6) [FP]​

User Jackmekiss
by
2.7k points

1 Answer

16 votes
16 votes

Answer:

$y=(7/2)x+20$

Explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$

User RSK
by
2.9k points