Graphing System of Linear Equations on a Coordinate Plane

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: 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: 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.

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines will not intersect, so the system has no solution

• The lines will eventually touch, so the system has one solution

• The line are parallel, so the system has no solution

• The slope(m) of the lines are equal

• The lines are perpendicular which means they will not ever cross.

• The slopes are equal, so the system has infinitely many solutions

Graph the systems of equations. What is the solution?

Graph the systems of equations. What is the solution?

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

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

What is the number of solutions to the system of equations? (Notice there are two lines graphed one on top of the other.)

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions