how many solutions does y=1/2x+2 and 4x-8y=-8

Question

johnweldon1993 · Answer

to do this...let us set them equal to each other

y = 1/2x + 2
4x - 8y = -8

hmm..that second equation look s abit messy..lets turn in into slope intercept form...y=mx + b

-8y = -8 - 4x
y = 1 + 4/8x
or
y = 1 + 1/2x
written correctly to match with the equation

y = 1/2x + 1

so we have 2 equations now

y = 1/2x + 1
and
y = 1/2x + 2

hmm same slope huh? odd isn't it...if a line has the SAME slope  but different y-intercept as another line....what does that look like? do they ever meet?