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?
C
How many solutions does the system have?
C

Answer 1

Answers

y = -5x-1
y = 2x+6

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 solution (-1, 4)

Step-by-step explanation

Slope is the coefficient, the number next to x the variable

These equations are both in slope intercept form, they have different slopes and different y intercepts so they will cross at one point thus there will be only one solution ( -1, 4)

See attached graph for proof