Lesson: Slope and Y-intercept from a graph

Front

What is the definition of the y-intercept in a graph?

Back

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

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 does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined rise over run.

Front

What is the formula for calculating the slope of a line?

Back

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

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line falls from left to right.

Front

How do you determine the slope from a graph?

Back

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

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, which can be applied in various real-world scenarios such as speed, cost, and growth rates.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as you move along the line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.