Question

What are the coordinates (x, y) at which the graphs of y = 0.125x − 3.005 and y = −2.58 intersect?





a.


(3.40, -2.58)


c.


(-0.06, 2.58)




b.


(1.23, 5.6)


d.


(-2.58, -3.40)

Answer 1

You know from the one equation what y equals. They are telling you that y = -2.58. What you need to do then is solve for x. When you have one equation that says y = something, you know what y is. It's -2.58. In the second equation, then, they tell you that y = .125x - 3.005. But since you already know that y is -2.58 from the other equation, you sub in -2.58 for y in the second equation and get -2.58 = .125x - 3.005. This is called solving systems of equations by substitution. When you do that and solve for x, you will obtain the x value. You already have the y value. They gave it to you as -2.58.

Answer 2

Can you do that? The answer then to your coordinates is one of your choices from up above.