Slope/y-intercept Practice 1

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/run).

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

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

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

What does a slope of zero mean for a line?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean for a line?

Back

An undefined slope means the line is vertical, and it cannot be expressed as a ratio of rise to run.

Front

How can you determine the y-intercept from the equation y = -rac{3}{4}x + 3?

Back

The y-intercept is the value of y when x = 0. In this case, it is 3.

Front

What is the slope of the line represented by the equation y = rac{4}{3}x - 3?

Back

The slope of the line is rac{4}{3}.