4.1 - 4.2 Review

Let's solve a system by GRAPHING. Put the steps in order from first to last.

• Solve both equations for y to get slope-intercept form

• Graph both lines using the slope and y-intercept

• The intersection point is the solution

Graph both equations on the same coordinate plane.

y=4x-3

y=-3x+4

What is the solution to the system of equations?

4x-y=3

3x+y=4

(​ (a)   ,​ (b)   )

• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 0

Solve for y:

4x-y=3 ---> y=​ (a)   x​ (b)  

• 4
• -3
• -4
• 3
• 3/4
• 4/3
• -1/4

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

What is the solution to this system?

• One Solution
• No solution
• Infinitely Many Solutions

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist