Graphing and Solving Equations on a Coordinate Plane

Graphing linear equations in two variables: Plot the graph of the equation 4x - 2y = 8 on the Cartesian plane

• The graph is a straight line.

• The graph is a parabola

• The graph is a hyperbola

• The graph is a circle

Graphing linear equations in two variables: Draw the graph of the equation 3x + 5y = 15 on the x-y plane

• The graph is a circle

• The graph is a straight line.

• The graph is a parabola

• The graph is a hyperbola

Graphing linear equations in two variables: Graph the equation 5x - 4y = 20 on the coordinate grid

• y = (5/4)x + 20

• y = (5/4)x - 10

• y = (5/4)x - 5

• y = (4/5)x + 5

Graphing linear equations in two variables: Plot the graph of the equation 2x + 7y = 14 on the Cartesian plane

• The graph is a circle on the Cartesian plane.

• The graph is a straight line on the Cartesian plane.

• The graph is a parabola on the Cartesian plane.

• The graph is a hyperbola on the Cartesian plane.

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

Solve for y:

4x-y=3 ---> y=​ (a)   x​ (b)  

• 4

• -3

• -4

• 3

• 3/4

• 4/3

• -1/4

Solve for y:

3x+y=4 ---> y=​ ​ (a)   x​​ (b)  

• -3

• +4

• -4

• 3

• 3/4

• 4/3

• -1/4

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

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​9-3y.

Fill in the blanks to plug that expression in and solve for y:

4(​9-3y)-2​y =-6

36-​12y-2y=​-6

36-​14y =-6

-14y=​ (a)  

y=​ (b)  

• -42

• 3

• 30

• -3