6.4 HW Transforming Linear Functions

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

If the y-intercept of a line changes from -1 to 0, which direction does the line shift?

Back

The line shifts up.

Front

What does it mean if a line's slope increases from 2 to 3?

Back

The line becomes steeper.

Front

If the y-intercept of a line changes from -4 to -6, which direction does the line shift?

Back

The line shifts down.

Front

How do you rewrite the equation y = 2x - 1 if it is shifted down 3 units?

Back

y = 2x - 4.

Front

If the y-intercept of a line changes from 8 to 2, which direction does the line shift?

Back

The line shifts down.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, represented as 'm' in the equation y = mx + b.

Front

What happens to a line when its slope decreases?

Back

The line becomes flatter.

Front

What is the general form of a linear equation?

Back

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

Front

If a line's slope is 0, what does that indicate about the line?

Back

The line is horizontal.