Slope & Slope-Intercept Form

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 the y-coordinate divided by the change in the x-coordinate (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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical.

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 in the equation y = -x + 2?

Back

The y-intercept is 2, which is the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, the y value increases by 2 units.

Front

What is the slope of the line that passes through the points (3,5) and (4,7)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (4,1) and (-6,1)?

Back

The slope is 0.

Front

How can you identify the slope from a graph?

Back

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