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 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = -3x + 2?

Back

The y-intercept is 2, which is the value of b in the equation.

Front

What is the slope of the line represented by the equation y = 5x - 1?

Back

The slope is 5, which indicates that for every 1 unit increase in x, y increases by 5 units.

Front

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

Back

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

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 y-axis.

Front

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

Back

The next step is to use the slope (m) to determine the rise over run from the y-intercept.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.