Jaylyn Horne

2022-10-22

Write an equation of a line parallel to 2y=4x-2, through the point (-3, 5)

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Miah Scott

Expert

the equation of a line in slope-intercept form is.
y=mx+b
where m is the slope and b the y-intercept
rearrange 2y=4x−2 into this form
divide all terms by 2
$⇒y=2x-1←\text{in slope-intercept form}$
with slope m=2
Parallel lines have equal slopes
$⇒{m}_{\text{parallel}}=2$
$⇒y=2x+b←\text{is the partial equation}$
to find b substitute (−3,5) into the partial equation
$5=-6+b⇒b=5+6=11$
$⇒y=2x+11←\text{equation of parallel line}$

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