U6L1 Number of Solutions System of Equations

Reviewing the types of slopes:

● Positive
● Negative
● Zero
● No Slope

Graph y = 2x + 3

Graph y = -2x - 5

Both y=2x-3 and y=-2x-5 are on the same graph

Can you identify the
solution?

U6L1 Number of Solutions

System of Equations

January 26, 2023

Relate the solution of a system of equations to its

graph and equations

MA.912.AR.9.1

Use the graph at the left to determine whether the
system has no solution, one solution, or infinitely
many solutions.

Key features - slope and y-intercept

a)

One solution - different slopes

y-intercepts can be the same or different

b)

No solution - same slopes, different y-intercepts

c)

Infinitely many solutions - same slopes, same y-intercepts

Give a try!

Without a graph, determine whether the system has no
solution, one solution, or infinitely many solutions.

Homework

Khan Academy - Number of solutions to
a system of equations algebraically
due Monday, 1/30

Due today - 1/25 ixl E.3 Graphing linear equations