Algebra Unit 5 Test Review

Front

What is the rate of change (slope)?

Back

The rate of change, or slope, is a measure of how much a quantity changes in relation to another quantity. It is calculated as the change in the y-values divided by the change in the x-values.

Front

What is the value of y when y = -1?

Back

y = -1 is a horizontal line that crosses the y-axis at -1.

Front

What is the slope of a line perpendicular to m=5?

Back

The slope of a line perpendicular to m=5 is -1/5.

Front

What do the slopes m = 5 and m = -1/5 indicate about the lines?

Back

The slopes indicate that the two lines are perpendicular to each other.

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where the change in x is zero, leading to division by zero.

Front

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

Back

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

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 a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.