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 y-intercept represent in a graph?

Back

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

Front

How do you find the slope from the slope-intercept form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves: positive slope means the line rises, negative slope means it falls.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (rise/run) to find another point on the line.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

How do you determine the rise and run from a slope?

Back

The rise is the change in y, and the run is the change in x. For example, a slope of 2 means rise = 2 and run = 1.

Front

Back

The graph is a straight line with a slope of 2 and a y-intercept at (0, 3).

Front

Back

The equation is already in slope-intercept form with a slope of -1 and a y-intercept of 4.