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 represented by the point (1, -1)?

Back

(1, -1) is the solution because it satisfies both equations.

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio (rise/run) to plot the second point 3. Draw the line.

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE

Front

What is slope-intercept form of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.