Write equations of a line parallel to x−y−12=0 that passes through (2, -5)

aphathalo

aphathalo

Answered question

2022-10-06

Write equations of a line parallel to x−y−12=0 that passes through (2, -5)

Answer & Explanation

antidootnw

antidootnw

Beginner2022-10-07Added 10 answers

Re-write the equation x−y−12=0 into a slope-intercept form y=mx+b
y=(1)x−12
So we are looking for line with slope of 1 through the point (2,−5)
This can easily be achieved using the slope-point form of the equation: ( y - y 1 ) = m ( x - x 1 )
In this case y 1 = ( - 5 ) , x 1 = 2 , and m=1
So our equation is
y + 5 = ( 1 ) ( x - 2 )
which simplifies as
y = x - 7

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