Interpreting Linear Graphs

Front

What is the y-intercept in a linear 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 y-intercept from a linear equation?

Back

To find the y-intercept, set x to 0 in the equation and solve for y.

Front

What does the slope of a linear graph represent?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

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

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 does a positive slope indicate about a linear 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 linear relationship?

Back

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

Front

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

Back

The slope can represent real-world rates, such as speed (miles per hour) or cost per item.

Front

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

Back

The y-intercept often represents the starting value or initial condition of a situation.

Front

How can you interpret the slope in a situation involving distance and fuel consumption?

Back

The slope indicates how many miles can be driven per gallon of fuel consumed.

Front

What does the y-intercept mean in a pricing model?

Back

The y-intercept represents the initial cost before any additional charges or fees.