Finding Slope and y-intercept From a Graph

Front

What is the slope of a line?

Back

The slope of a line (m) is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often expressed as a fraction: m = rise/run.

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 (difference in y-coordinates) and the run (difference in x-coordinates) between these points. Then, use the formula m = rise/run.

Front

What is the y-intercept of a line?

Back

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

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept from a graph, look for the point where the line intersects the y-axis. The y-coordinate of this point is the y-intercept.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the formula for slope using two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the significance of an undefined slope?

Back

An undefined slope occurs with a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

How can you simplify a fraction for slope?

Back

To simplify a fraction for slope, divide both the numerator and denominator by their greatest common divisor (GCD).