Work Step by Step
Lets graph the first equation by using the slope and y-intercept. This equation is y=-x+4 and it is in the form of y=mx+b, where "m" is the slope and "b" is the y-intercept. First, plot the point (0,4) because that is our y-intercept or "b" for our equation. Then go down 1 unit and right 1 unit because the slope is riserun or −11 in our situation and plot the next point there. Then draw a line between the two points and make sure it extends beyond the two points as well. For graphing the next equation we will also use the y-intercept and slope just like the previous equation. The equation is 3x+12. First, plot the point (0,12) since that is the y-intercept. Then go 3 units up and 1 unit right, since our slope is 31 and plot the second point there. Then draw a line between the two points extending in both directions. You will notice that the two lines intersect at the point (-2, 6) and so that is our solution.