Slope from 2 points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

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

Back

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

Front

If a line has a slope of 0, what can you say about the line?

Back

The line is horizontal.

Front

Calculate the slope of the line that passes through the points (1, 2) and (4, 5).

Back

The slope is 1, calculated as (5 - 2) / (4 - 1).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x in the equation y = mx + b.

Front

How can you identify the slope from a graph of a line?

Back

The slope can be identified by selecting two points on the line and using the rise over run method.

Front

What is the slope of the line that passes through the points (-1, -1) and (3, 3)?

Back

The slope is 1, calculated as (3 - (-1)) / (3 - (-1)).

Front

What does a slope of 2 indicate about the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 2 units.