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, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

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

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 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 a line has a slope of 4/3, what does this indicate about its direction?

Back

A slope of 4/3 indicates that for every 3 units moved horizontally to the right, the line moves up 4 units.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line, where the change in x is 0, making the slope calculation impossible.

Front

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Front

How do you convert a slope-intercept equation to standard form?

Back

To convert y = mx + b to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

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

Back

The slope of the line is -3/4.