Slope and Y-intercept of a GRAPH Real World

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the y-intercept of 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 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 (change in y) and run (change in x), and then divide rise by run.

Front

What is the formula for slope?

Back

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where the change in x is 0, leading to division by zero.

Front

If a line has a slope of 2, what does this mean in real-world terms?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept often represents the starting point or initial value in real-world situations, such as initial costs or quantities.