Slope, Y-Intercept and Equations from Tables

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

How can you determine the y-intercept from the equation y = 4x - 2?

Back

The y-intercept is -2, which is the value of b in the slope-intercept form.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.