Graphing 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 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 is 0.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes; a positive slope rises, while a negative slope falls.

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 graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, meaning for every 1 unit increase in x, y increases by 2 units.

Front

If the equation of a line is y = -1/2x + 4, what is the y-intercept?

Back

The y-intercept is 4, which is the point (0, 4) on the graph.

Front

What is the first step in graphing a line in slope-intercept form?

Back

The first step is to plot the y-intercept (b) on the graph.

Front

After plotting the y-intercept, what is the next step in graphing?

Back

Find the slope (m) and use it to determine the rise over run to plot the next point.