Graphing Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you identify a positive slope on a graph?

Back

A positive slope rises from left to right, indicating that as x increases, y also increases.

Front

How do you identify a negative slope on a graph?

Back

A negative slope falls from left to right, indicating that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = 3x?

Back

The y-intercept is 0, as the equation can be rewritten as y = 3x + 0.

Front

How do you graph the equation y = 1/3x - 2?

Back

Start at the y-intercept (-2) on the y-axis, then use the slope (1/3) to rise 1 unit and run 3 units to the right.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line is -2.

Front

What is the y-intercept of the line represented by the equation y = -2x + 1?

Back

The y-intercept is 1.