Chapter 3 Review

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

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 Point-Slope form of a linear equation?

Back

The Point-Slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert from Point-Slope form to Slope-Intercept form?

Back

Rearrange the equation to solve for y: y = mx + b.

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 is the y-intercept of a line?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What does it mean for a line to have a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does it mean for a line to have a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is the equation of a line with slope -2 that passes through the point (7, -1)?

Back

y = -2x + 13.