Question

how do i graph -2x+y=8 using x and y intercept

Answer 1

You only need two points to form a line. For the x - intercept, it's the place where the line crosses the x-axis. That happens when y = 0. Look at a graph and see if this makes sense to you.
So if you sub in y = 0 into your equation, you get -2x + 0 = 8 Therefore x=-4.
That means that the point called the x-intercept is at (-4,0). So now we have one point.

For the y-intercept, it's the place where the line crosses the y-axis. You could re-arrange your equation so it looks like y = 2x + 8. This is in the "slope, y-intercept form" of the equation of a line. 8 is the y-intercept so the point would be (0,8). Look at a graph and picture that the y-intercept happens when x = 0. Also you could just sub in x = 0 and you'd find that y = 8.
Graph it by starting with the x and y axis. Then make a dot where these two points are. Then use a ruler to make a straight line joining both points and keep going in either direction.