Slope-Intercept Form Flashcard

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, indicating 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, indicating the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the first step in graphing a line using the 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

Use the slope (m) to determine the rise over run from the y-intercept.

Front

If the slope is positive, what direction does the line go?

Back

A positive slope means the line rises from left to right.

Front

If the slope is negative, what direction does the line go?

Back

A negative slope means the line falls from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero 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 is constant and y can change.