Question

find the equation of line passing through the points (4,5) and perpendicular to the line 7x - 5y = 420




plz solve it as fast as u can


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Answer 1

$\red{ \bold {\underline {\underline {\star \: { \tt Given}}}}}$

The line passing through the point (4,5).

And perpendicular to the line 7x - 5y = 420.

$\red{ \bold {\underline {\underline {\star \: { \tt Answer }}}}}$

$\implies \: 5x + 7y = 55.$

Answer 2

Answer:

Step-by-step explanation:

Find the slope of line :

7x - 5y = 420.

=> -5y = 420 - 7x

=> -5y = -(7x - 420)

=> 5y = 7x - 420

=> y = (7/5) x - (420/5)

=> y = (7/5)x - 84

Use the slope to find the y-intercept. Here,

Line is perpendicular so use m = -5/7.

(4,5) = 5 = (-5/7) * 4 + b

=> 5 = (-20/7) + b

=> b = 55/7

Write the answer,

y = (-5/7)x + 55/7

=> 5x + 7y = 55

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