Question

Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? –5 What is the slope of the second line? 2 How many times do the lines intersect? 1 How many solutions does the system have?

Answer 1

Slope of the first line: m=-5

Slope of the 2nd line: m=2

1 pt of intersection.

1 solution for the system.

Explanation:

The three answers in the question are correct. The slope is the number beside the x when the equation is in the form y=mx+b

That's where you find the -5 and then the 2. These lines have different slopes. That means they will intersect (cross) they only touch at one point. The point of intersection is the solution to the system of equations. The point is an x,y pair. If you put that x and y into either (both) equation(s) you will get a true statement. Systems like this (two lines) dont have 1 or 2 or 3 solutions. They only have one or none or infinite solutions. Good luck!