Linear Relationships Review

Front

What is the slope of a line?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis (when x = 0).

Front

If a line has a slope of -5/4, what does this indicate about its direction?

Back

A slope of -5/4 indicates that the line is decreasing; as x increases, y decreases.

Front

What is another term for 'rate of change' in a linear context?

Back

Slope.

Front

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

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the function is linear.

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

m represents the slope, and b represents the y-intercept.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.