Identify Slope and Y-Intercept from Graphs

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.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified by locating the point where the line intersects the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

Front

If a line has a slope of -1, what does this mean?

Back

A slope of -1 means that for every unit increase in x, y decreases by 1 unit.