Slope-Intercept Form Flashcard

Front

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

Back

Front

What does the slope in the slope-intercept form represent?

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 in the slope-intercept form represent?

Back

Front

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

Back

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

What is the first step in graphing a linear equation 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 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.