Intercept Interpretation

Front

What is the y-intercept in a graph?

Back

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

Front

What does the y-intercept represent in a real-world context?

Back

In a real-world context, the y-intercept can represent an initial value or starting point of a situation being modeled.

Front

What is the x-intercept in a graph?

Back

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

Front

What does the x-intercept represent in a real-world context?

Back

In a real-world context, the x-intercept can represent a break-even point or a threshold where a situation changes.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation in the form y = mx + b, set x to 0 and solve for y.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation in the form y = mx + b, set y to 0 and solve for x.

Front

What is the significance of the slope in a linear equation?

Back

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

Front

What does a positive slope indicate about a relationship?

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 relationship?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).