LINEAR FUNCTIONS BLITZ

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

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 = 0 and solve for y. The value of y at this point is the y-intercept.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation of the line is y = 2x + 3.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear function?

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 about a linear function?

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 meaning of the y-intercept in a real-world context?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero. It often indicates the starting point in real-world scenarios.

Front

How can you determine if a linear function is increasing or decreasing?

Back

A linear function is increasing if the slope is positive and decreasing if the slope is negative.

Front

What is the significance of the x-intercept in a linear function?

Back

The x-intercept is the point where the line crosses the x-axis, indicating the value of x when y = 0.