Explanation:
to graph the equation, you need to put it in slope-intercept form which is y=mx+b
so you take your equation and solve it for y
-2x+7y=14 add 2x to both sides
7y=2x+14 divide both sides by 7
x=[tex]\frac{2}{7}[/tex]y+2
the y-intercept is the b, which is 2
y-intercept means on the graph, where the line crosses the y axis (the one going up and down).
So you put a point at (0,2) and then you use the slope to find another point. Slope is [tex]\frac{2}{7}[/tex] so from that point you rise up 2 and run right 7. You plot that point (2,9) then draw a line connecting the points.
