Substitution and Coordinate Plane

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?

• y = 2x + 5
• y = -2x + 5
• y = 4x + 10
• y = -2x - 10

Solve the system by substitution.
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Solve the system by substitution:
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Solve the system of equations by substitution.
y = 8x + 12
-5x +4y = 21

• (1, -4)
• (1, 20)
• (-1, 20)
• (-1, 4)

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe.