Algebra Fall Final Review

Front

Find the slope of the line that passes through the points (6,7) and (4,2).

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1). For points (6,7) and (4,2), m = (2 - 7) / (4 - 6) = 5/2.

Front

What is the slope of a line containing the points (-2, 5) and (3, 1)?

Back

Using the slope formula, m = (y2 - y1) / (x2 - x1), we find m = (1 - 5) / (3 - (-2)) = -4/5.

Front

The slopes of parallel lines are...

Back

The same.

Front

A vertical line has what kind of slope?

Back

Undefined.

Front

What is the slope represented in this table? (Assuming the slope is 4)

Back

Slope: 4.

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about a line?

Back

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