Unit 3 HW 5 - Slopes of Lines

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b).

Front

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

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it goes straight across.

Front

If the slope of two lines is the same, what can be said about the lines?

Back

If two lines have the same slope, they are parallel.

Front

If the product of the slopes of two lines is -1, what can be said about the lines?

Back

If the product of the slopes is -1, the lines are perpendicular.

Front

What is the slope of a line that passes through the points (2, 3) and (5, 7)?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Given the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined because the x-coordinates are the same.