Solving Systems by Graphing

Front

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

Back

Write both linear equations in slope-intercept form.

Front

What is the solution to the system of equations graphed by Buzz?

Back

(1, -4)

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio to plot second point 3. Draw the line.

Front

What is the solution to the system of equations graphed by Steffen?

Back

(-3, -8)

Front

What does slope-intercept form look like?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if two lines intersect at a point?

Back

The point of intersection is the solution to the system of equations.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).

Front

How do you find the y-intercept of a line?

Back

Set x = 0 in the equation of the line and solve for y.

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.