Chapter 5 Part A Summative Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 2x + 2?

Back

The y-intercept is 2.

Front

How do you determine the equation of a line given its slope and a point on the line?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line that passes through the points (10, 1) and (5, 2)?

Back

The slope is -1/5.

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 trend.

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 trend.

Front

What is the absolute value function and how is it represented?

Back

The absolute value function is represented as f(x) = |x|, which outputs the non-negative value of x.

Front

What is the equation of the absolute value function shifted up by 2 units?

Back

The equation is f(x) = |x| + 2.