Graphing and Slope-intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

In the equation y = 2x - 2, what is the y-intercept?

Back

The y-intercept is -2.

Front

In the equation y = 4x + 2, what is the slope?

Back

The slope is 4.

Front

What type of slope does the equation y = -3x + 5 have?

Back

It has a negative slope.

Front

Which equation has a positive slope? y = 3x + 5 or y = -3x - 5?

Back

y = 3x + 5 has a positive slope.

Front

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

Back

The y-intercept is (0, 1).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

It indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

It indicates that the line is vertical.