Unit 5 Test Review

Front

What is the y-intercept of the line represented by the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

What is the equation of a line that is perpendicular to y = -\frac{3}{2}x + 1?

Back

The equation of a line that is perpendicular has a slope that is the negative reciprocal of -\frac{3}{2}, which is \frac{2}{3}. If it passes through (0, -4), the equation is y = \frac{2}{3}x - 4.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope is represented by m in the equation.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How does the graph of the function g(x) = f(x) - 5 affect the parent function f(x) = x?

Back

The graph shifts 5 units down.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with slope 3 is -\frac{1}{3}.

Front

What is the significance of the point (0, b) in the equation y = mx + b?

Back

The point (0, b) represents the y-intercept of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = \frac{y2 - y1}{x2 - x1}.

Front

What is the equation of a line parallel to y = \frac{3}{2}x + 3?

Back

An example of a parallel line is y = \frac{3}{2}x - 2.