Solving Systems of Equations by Graphing

What is the first step in solving a system of equations by graphing?

• Check the solutions

• Convert all equations to standard form

• Graph each equation on the same coordinate plane

• Find the slope of each line

What is a system of equations?

• A method to solve quadratic equations

• A grouping of two or more equations

• A set of parallel lines

• A single equation with two variables

What type of solution do you get when two lines intersect at one point?

• Two solutions

• One solution

• Infinitely many solutions

• No solution

What does it mean if two lines are parallel?

• They have the same slope but different y-intercepts

• They have different slopes

• They intersect at one point

• They coincide

What is the solution to a system of equations with coinciding lines?

• Infinitely many solutions

• No solution

• Two solutions

• One solution

In the first example, what are the intercepts of the equation 2x + y = 4?

• (0, 2) and (4, 0)

• (0, 4) and (2, 0)

• (2, 0) and (0, -4)

• (4, 0) and (0, 2)

What is the intersection point of the lines in the first example?

• (2, 0)

• (0, 4)

• (4, 0)

• (2, 2)

In the second example, what indicates that the system has no solution?

• The lines coincide

• The lines have different slopes

• The lines intersect at one point

• The lines are parallel

What is the y-intercept of the equation y = 2x - 3?

• 3

• -3

• 2

• -2

What is the final step in solving a system of equations by graphing?

• Convert to slope-intercept form

• Find the y-intercept

• Find the x-intercept

• Check the solution