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## Homework Statement

Find the x-intercept of the line that passes through the point (1; 2) and perpendicular to the

line joining (1; 1) and (3; 4):

## The Attempt at a Solution

I want to confirm my steps if it's right ,,,,

M=(4-1)/(3-1)= 3/2

y-1=3/2(x-1) ====> y=(3/2)x-1/2

perpendicular = m1xm2=-1 ====> m2=-2/3

y-2=-2/3(x-1) ====> y=(-2/3)x+4/5

making it one equation

(3/2)x-(1/2)=(2/3)x+(4/3)

x=11/13