Warm Up 8.F.4 (Linear function Part 1)

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the function on the y-axis.

Front

In the equation h = 1.20t + 3.14, what does the slope (1.20) represent?

Back

The slope (1.20) represents the rate of change of height per day, meaning the plant grows 1.20 cm each day.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given 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 negative slope indicate about a line?

Back

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

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined, as it would involve division by zero.

Front

If a line passes through the point (3, 4) and has a slope of 2, what is the equation of the line?

Back

Using the point-slope form, the equation is y - 4 = 2(x - 3), which simplifies to y = 2x - 2.

Front

What does the term 'linear function' mean?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

What is the significance of the point (0, b) in a linear function?

Back

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