Identify Slope and Y-Intercept from Graphs

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you identify a positive slope on a graph?

Back

A positive slope is identified when the line rises from left to right, indicating that as the x-value increases, the y-value also increases.

Front

How do you identify a negative slope on a graph?

Back

A negative slope is identified when the line falls from left to right, indicating that as the x-value increases, the y-value decreases.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

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

Back

To find the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x is 0.

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 does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the slope formula.