SOLUTION: what is 2x=y over 3 minus 4 with work shown

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Question 805602: what is 2x=y over 3 minus 4 with work shown
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2x=y%2F3+-4+.........here you have both x and y first degree variable; so, you have a linear equation
you can solve it for y and get slope-intercept form y=mx%2Bb where m=slope and b=y-intercept
then you one point that lie on a line and you will need only one more point to graph this line
2x%2B4=y%2F3+
2%2A3x%2B4%2A3=y%2A3%2F3+
6x%2B12=y+
or
y=6x%2B12+
so, the slope m=6 and y-intercept is b=12 which means a line crosses y-axis at point (+0+,12)
now find one more point; easiest is to find x-intercept, so set y=0 and solve equation for x

0=6x%2B12+

-12=6x++
-12%2F6=x++
x=-2++
so,x-intercept is at point (+-2+,+0+)
plot both points and draw a line through: