What is the equation of the line through (6, 3) and perpendicular to y=−34x+2?Answer Choices:A. y=−3/4x+152B. y=4/3x+2C. y=4/3x−5D. y=−3/4x−5

Mathematics · Middle School · Mon Jan 18 2021

Answered on

given that:- the line through (6, 3)=(x1,y1) and perpendicular to y=−34x+2

slope of line(m1)= -34

when one line is perpendicular to another then the slope of line is negative reciprocal of another line slope 

m2= -1/m1

m2=-1/(-34)

m2=1/ 34

equation of line:- y-y1=m(x-x1)

y-3=1/ 34(x-6)

y-3=x/4 - 6/34

y-x/4=3-3/17

y-x/4=(51-3)/17

y-x/4=48/17

y=x/4+ 192