# 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"#