Question

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

Answer 1

`y=2x+11`

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"`