Slope Intercept Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the change in x is zero.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, where there is no change in y.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

How do you determine the slope and y-intercept from the equation y = 3/2x + 3?

Back

The slope is 3/2 and the y-intercept is (0, 3).

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.