Unit 5 Test Review: Linear Functions

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

How do you 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 is the slope of the line that passes through the points (2, 14) and (6, 12)?

Back

The slope is -\frac{1}{2}.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

Write the equation of the line through the points (0, 1) and (-2, 5).

Back

The equation is y = -2x + 1.

Front

What happens to the equation of a line when it is shifted up by a certain number of units?

Back

When a line is shifted up by 'k' units, the y-intercept increases by 'k', resulting in a new equation of the form y = mx + (b + k).

Front

What is the equation of the line y = -\frac{2}{3}x - 2 when shifted up 3 units?

Back

The new equation is y = -\frac{2}{3}x + 1.

Front

What is the meaning of the term 'linear function'?

Back

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