Write an equation of a line parallel to 2y=4x-2, through the point (-3, 5)?
1 Answer
Mar 13, 2018
Explanation:
#"the equation of a line in "color(blue)"slope-intercept form"# is.
#•color(white)(x)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"#
#rArry=2x-1larrcolor(blue)"in slope-intercept form"#
#"with slope "=m=2#
#• " Parallel lines have equal slopes"#
#rArrm_("parallel")=2#
#rArry=2x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(-3,5)" into the partial equation"#
#5=-6+brArrb=5+6=11#
#rArry=2x+11larrcolor(red)"equation of parallel line"#
