Graphing Systems

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x in the linear equation.

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Front

What is the slope of a line that is perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Front

How do you find the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

Front

What does the inequality -8x < 48 represent when solved for x?

Back

It represents the set of all x values greater than -6.

Front

What is the slope of the line represented by the equation y = 2x - 7?

Back

The slope of the line is 2.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are true, the point is a solution.

Front

What is the y-intercept in the equation y = 2x - 7?

Back

The y-intercept is -7, which is the value of y when x = 0.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

How can you graph a linear equation?

Back

You can graph a linear equation by plotting the y-intercept and using the slope to find another point.