Write the equation of line passes through (-4,-3), and is perpendicular to 4x + y=7

fluerkg
2022-10-12
Answered

Write the equation of line passes through (-4,-3), and is perpendicular to 4x + y=7

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Crubery3

Answered 2022-10-13
Author has **6** answers

Equation of a line that is perpendicular to Ax+By=C

is of the form Bx−Ay=k i.e. reversing te coefficients of x and y and changing sign of one of them.

Hence, the line perpendicular to 4x+y=7 has equation of the form

x−4y=k and as it passes through (−4,−3)

we should have $(-4)-4\times (-3)=k$

and therefore k=−4+12=8

and desired equation is x−4y=8 or 3x−y+14=0

is of the form Bx−Ay=k i.e. reversing te coefficients of x and y and changing sign of one of them.

Hence, the line perpendicular to 4x+y=7 has equation of the form

x−4y=k and as it passes through (−4,−3)

we should have $(-4)-4\times (-3)=k$

and therefore k=−4+12=8

and desired equation is x−4y=8 or 3x−y+14=0

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