NEW Unit 5 CW Test Review: Linear Functions

Front

What is the equation of a line given two points?

Back

To find the equation of a line given two points, use the formula for slope (m) and the point-slope form of a line. The slope is calculated as m = (y2 - y1) / (x2 - x1). Then, use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

To find the x-intercept of a function f(x), set f(x) = 0 and solve for x. This gives the point where the graph crosses the x-axis.

Front

What does the equation x = a represent in a graph?

Back

The equation x = a represents a vertical line that crosses the x-axis at the point (a, 0).

Front

What does the equation y = b represent in a graph?

Back

The equation y = b represents a horizontal line that crosses the y-axis at the point (0, b).

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise/run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where x remains constant, resulting in no change in x as y changes.

Front

How does shifting a graph vertically affect its equation?

Back

Shifting a graph vertically affects its equation by adding or subtracting a constant from the function. For example, f(x) + k shifts the graph up by k units.