Identify Slope and Y-Intercept from a Graph

Front

What is the definition of slope in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you identify the y-intercept from the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept.

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept is 3.

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 and run between them, and divide rise by run.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is 0.

Front

How do you determine the slope from a graph with points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.