Slope and y-intercept

Front

What is the definition of slope?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the definition of y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

How can you find the y-intercept from an equation in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

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 the x-value does not change as y changes.

Front

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

Back

This means that for every 1 unit increase in x, y increases by 3 units.