Do Now
Name______________________
1. Convert the equation to slope-intercept ( y= mx + b) form by isolating y.
2y + x = 0
2. Graph the equation y = x + 3 on the grid.
3.(Bonus) Graph the equation from question 1 on the same grid.
What is the solution to the system?
Do Now
Name______________________
1. Convert the equation to slope-intercept ( y= mx + b) form by isolating y.
2y + x = 0
2. Graph the equation y = x + 3 on the grid.
3.(Bonus) Graph the equation from question 1 on the same grid.
What is the solution to the system?
Solving Systems with
Graphing, Day 2
Name ___________________________________
Date ____________________________________
Homeroom_____________________________
Objective: SWBAT ____________ and ___________ the solution of a system of equations by _______________.
Example 1: Melody and Nevaeh go bowling and they both thought they got a great deal. Melody
went to Bowl-o-Rama and paid $3 per game plus $2 to rent shoes. Nevaeh went to Bowling Pinz
and paid $2 per game plus $4 for shoe rental. If they both spent the same amount of money, how
many games did they play?
a. Write two equations to describe Melody and Nevaeh’s costs.
b. Fill out the table below
Melody
Nevaeh
y-intercept =
y-intercept =
slope =
slope =
c. Graph the two equations
d. Where do the two lines intersect?
e. What is the solution to the word problem (complete
sentence)
Group Practice
a) Rearrange equations into slope-intercept form
b) Graph the system and find the solution
1) y – 1 = 4x
y=x+4
2) 2y = 6x - 6
y = -x + 5
Solution:
Solution:
4) y = x + 1
3y – 9x = -3
2
3) y = - x+ 7
3
y – ½x = 0
Solution:
Solution:
5) y = ½x + 1
2y – 2x = -2
6) 2y – x = -4
y = ¾x -3
Solution:
Solution:
Exit Quiz: Graphing systems of equations
Name_________________
Graph each system of equations. Then determine whether the system has no solution, one
solution, or infinitely many solutions. If the system has one solution, name it.
y = 3x – 4
y = -3x - 4
Solution: _____
x+y=2
y = 4x + 7
Solution:_____
Exit Quiz: Graphing systems of equations
Name_________________
Graph each system of equations. Then determine whether the system has no solution, one
solution, or infinitely many solutions. If the system has one solution, name it.
y = 3x – 4
y = -3x - 4
Solution: _____
x+y=2
y = 4x + 7
Solution:_____
Graphing Systems Day 2
Homework
69
Name ___________________________________
Date ____________________________________
Homeroom_____________________________
1. Find the solution to the following system of
equations by graphing:
𝑦 =𝑥+2
𝑦 = −2𝑥 + 2
2. Find the solution to the following system of
equations by graphing: (hint solve for y first)
𝑦=𝑥+4
𝑦 − 4𝑥 = 1
3. Find the solution to the following system of
equations by graphing: (hint solve for y first)
1
𝑦=− 𝑥+1
3
4. Find the solution to the following system of
equations by graphing: (hint solve for y first)
3𝑥 + 4𝑦 = 12
3𝑦 = 𝑥 − 9
2𝑥 + 4𝑦 = 8