Slope and Y-Intercept

Front

What is a slope?

Back

The slope is a measure of how steep a line is. It shows the change in y (vertical) for a change in x (horizontal).

Front

What does a positive slope indicate?

Back

A positive slope means that as x increases, y also increases. The line goes up from left to right.

Front

What does a negative slope indicate?

Back

A negative slope means that as x increases, y decreases. The line goes down from left to right.

Front

What is a zero slope?

Back

A zero slope means the line is horizontal. There is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical. The change in x is zero, which makes the slope calculation impossible.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x is 0.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If m = 2 and b = 3, what is the equation of the line?

Back

y = 2x + 3

Front

How do you find the slope from two points?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the term 'rise' refer to in slope?

Back

'Rise' refers to the change in y (vertical change) between two points on a line.