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Which of these is a point-slope equation of the line that is perpendicular toy-3= 4(x-10) and passes through (-3, 7)?A.y+7=-1(x-3)B. y+ 7 = 4(x-3)OC. y-7= -4(x+3)OD. y-7=-1/(x+3)

Which of these is a pointslope equation of the line that is perpendicular toy3 4x10 and passes through 3 7Ay71x3B y 7 4x3OC y7 4x3OD y71x3 class=

Respuesta :

Given: y-3=4(x-10) passes through (-3,7).

Find: equation of lie that is perpendicular to the given equation

Explanation: y-3=4(x-10)

y-3=4x-40

y=4x-37

for to find the equation of perpendicular line ,

y=mx+c

for to equation of line that is perpendicular to y=4x-37

slope m will be

[tex]-\frac{1}{m}[/tex]

so the equation becomes.

[tex]y-7=-\frac{1}{4}(x+3)[/tex]

Final answer: option D is correct answer.

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