"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+b∙xy=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=4x−2 into this form
"divide all terms by 2"divide all terms by 2
rArry=2x-1larrcolor(blue)"in slope-intercept form"⇒y=2x−1←in slope-intercept form
"with slope "=m=2with slope =m=2
• " Parallel lines have equal slopes"∙ Parallel lines have equal slopes
rArrm_("parallel")=2⇒mparallel=2
rArry=2x+blarrcolor(blue)"is the partial equation"⇒y=2x+b←is 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+b⇒b=5+6=11
rArry=2x+11larrcolor(red)"equation of parallel line"⇒y=2x+11←equation of parallel line