Solve the following system of equations graphically on the set of axes below.

Question

y=-1/3x-4

y=2/3x+2

it wants to me to graph it anyone know how?

Answer 1

Here's how.

For y = -(1/3)x - 4, the y-intercept is -4, so place a point on the graph at (0,-4). The slope is -1/3, so from the point (0,-4) go down one then to the right three and put another point. Use a straightedge to draw a line through the two points. Don't stop at the two points. Continue the line past them.

Do the same for y = (2/3)x + 2. The y-intercept is 2 so place a point at (0,2). The slope is 2/3, so from (0,2) go up 2 and to the right three and draw a second point. Use a straightedge to draw a line through the two points. Again, don't stop at the two points. Continue the line past them.

The solution is the point where the two lines intersect. Read the coordinates (x,y) of the intersection point from the graph. That's the solution.