Understanding Linear Systems by Graphing

What is a linear system in the context of graphing?

• A single line on a graph

• Two or more lines on a graph

• A parabola on a graph

• A circle on a graph

Which method is NOT mentioned as a way to solve linear systems?

• Integration

• Elimination

• Substitution

• Graphing

What is the first step in graphing the equation 2x + y = 11?

• Convert to slope-intercept form

• Find the x and y intercepts

• Plot random points

• Use a calculator

How do you find the x-intercept of the equation 2x + y = 11?

• Set x to 1 and solve for y

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Set y to 1 and solve for x

What is the y-intercept of the equation 2x + y = 11?

• 2

• 0

• 5.5

• 11

What form is the equation y = 1/2x + 1 in?

• Slope-intercept form

• Standard form

• Quadratic form

• Point-slope form

What does the slope 1/2 indicate in the equation y = 1/2x + 1?

• Rise of 2, run of 2

• Rise of 1, run of 1

• Rise of 1, run of 2

• Rise of 2, run of 1

What is the point of intersection for the two lines in the graph?

• (3, 4)

• (4, 3)

• (5, 5)

• (2, 2)

What is the significance of the point of intersection in a linear system?

• It is where the lines are identical

• It is the solution to the system

• It is where the lines diverge

• It is where the lines are parallel

What should be considered when graphing by hand to find the intersection?

• Drawing freehand

• Avoiding any errors

• Using a calculator

• Being as accurate as possible