Write an equation for the line in slope intercept form that is perpendicular to the given line and that passes through the given point –4x + 12y = 18; (–2, 4)

django0a6

django0a6

Answered question

2022-11-13

Write an equation for the line in slope intercept form that is perpendicular to the given line and that passes through the given point –4x + 12y = 18; (–2, 4)

Answer & Explanation

grizintimbp

grizintimbp

Beginner2022-11-14Added 16 answers

The slope of straight line - 4 x + 12 y = 18 or y = 1 3 x + 9 2 is 1 3
The unknown line is perpendicular to the given line: −4x+12y=18 hence, the slope of unknown line
= - 1 1 3 = - 3
Now, the equation of line with a slope m=−3 passing through the point ( - 2 , 4 ) ( x 1 , y 1 ) is given as follows
y - y 1 = m ( x - x 1 )
y - 4 = - 3 ( x - ( - 2 ) )
y = - 3 x - 2
Above is the slope intercept form of line

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