Identify Slope and Y-Intercept from a Graph

Front

What is the definition of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b, where b is the y-intercept.

Front

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

Back

The y-intercept can be identified as the value of b in the equation, which is the constant term.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How is the slope calculated from two points on a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

The slope of the line is 3.

Front

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

Back

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

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the y-intercept of the equation y = -2x + 6?

Back

The y-intercept is 6.

Front

How do 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 formula slope = rise/run.