Question

When does y=10x+20 and y=5x+50 on a graph intersect

Answer 1

Answer:

(6,80)

Step-by-step explanation:

To solve a system of equations like what we have here, where both of the equations are in slope-intercept form (y=mx+b), you'd use substitution. You'd  plug in (10x+20) for y in the other equation to get 10x+20=5x+50 (it's the same if you do it the other way around), and solve for x. When you solve for x, you get x=6, so your x-coordinate of intersection is 6. Now that you've solved for x, you can plug the value of x, 6, back into either of the equations (they'll both intersect at the same point, so it doesn't matter which you choose, but I'm going to use y=10x+20). So, when you plug the value of x into y=10x+20, you get y=10(6)+20, which is 80, so you know your y-coordinate of intersection is 80. So, putting the x and y-coordinates into one point, you have the point of intersection being (6,80). Hope that helped!