Unit 8 - Linear Equations 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 (change in y) over the run (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 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 is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

A slope of 4/3 indicates that for every 3 units moved horizontally (run), the line rises 4 units (rise), making it relatively steep.

Front

How do you write a linear equation given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the formula to calculate the slope from a graph?

Back

To calculate the slope from a graph, use the formula: slope = rise/run, which is the vertical change divided by the horizontal change.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, indicating where the line crosses the y-axis.

Front

How can you identify the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points in the table.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.