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

1 Answer
Mar 13, 2018

y=2x+11y=2x+11

Explanation:

"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.

•color(white)(x)y=mx+bxy=mx+b

"where m is the slope and b the y-intercept"where m is the slope and b the y-intercept

"rearrange "2y=4x-2" into this form"rearrange 2y=4x2 into this form

"divide all terms by 2"divide all terms by 2

rArry=2x-1larrcolor(blue)"in slope-intercept form"y=2x1in slope-intercept form

"with slope "=m=2with slope =m=2

• " Parallel lines have equal slopes" Parallel lines have equal slopes

rArrm_("parallel")=2mparallel=2

rArry=2x+blarrcolor(blue)"is the partial equation"y=2x+bis the partial equation

"to find b substitute "(-3,5)" into the partial equation"to find b substitute (3,5) into the partial equation

5=-6+brArrb=5+6=115=6+bb=5+6=11

rArry=2x+11larrcolor(red)"equation of parallel line"y=2x+11equation of parallel line