Question

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)

Answer 1

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

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

Step-by-step 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

`-(1)/(m)`

so the equation becomes.

`y-7=-(1)/(4)(x+3)`

Final answer: option D is correct answer.