Find the Slope and Y-Intercept

Front

What is the slope of a line?

Back

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

Front

What does a slope of 0 indicate?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to find the slope is m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 3, what does this mean?

Back

A slope of 3 means that for every 1 unit the line moves to the right (run), it moves up 3 units (rise).

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where the run is 0, meaning the line does not change in x.

Front

How do you identify the y-intercept from a graph?

Back

The y-intercept is identified as the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 2x + 4?

Back

The slope of the line is 2.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.