Solving Systems by Graphing Techniques

What materials are needed to solve systems by graphing?

• A sheet of graph paper, a pencil, and a ruler

• A textbook, a highlighter, and sticky notes

• A calculator, a pen, and a notebook

• A computer, a mouse, and a keyboard

What is the first step in solving the system of equations 2x + y = 7 and x - 3y = 21?

• Transforming the equations into slope-intercept form

• Checking the solutions

• Finding the y-intercepts

• Graphing the equations

What is the slope-intercept form of the equation 2x + y = 7?

• y = 2x + 7

• y = 2x - 7

• y = -2x - 7

• y = -2x + 7

What is the slope-intercept form of the equation x - 3y = 21?

• y = 1/3x - 7

• y = -1/3x + 7

• y = 1/3x + 7

• y = -1/3x - 7

Where is the y-intercept of the equation y = -2x + 7?

• At (7, 0)

• At (-2, 0)

• At (0, 7)

• At (0, -2)

What is the slope of the equation y = -2x + 7?

• -2

• -1/2

• 2

• 1/2

Where do the lines y = -2x + 7 and y = 1/3x - 7 intersect?

• (5, -6)

• (6, -5)

• (-6, 5)

• (-5, 6)

What is the y-intercept of the equation y = x + 10?

• 10

• -1

• 1

• -10

What is the slope of the equation y = -1x - 4?

• -1

• -4

• 4

• 1

What does it mean if the solution to a system of equations is (x, y)?

• The lines are parallel

• The lines do not intersect

• The lines intersect at (x, y)

• The lines are the same