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? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?

Answer 1

Explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = -5(-1) - 1 = 5 - 1 = 4

(-1. 4)

first slope: -5

second slope: 2

once

one

Answer 2

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?

✔ 1