4.1-4.3 Review (Mentzer)

Front

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

Back

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

Front

How do you write an equation of a line in slope-intercept form from a graph?

Back

Identify the slope (m) and the y-intercept (b) from the graph, then use the formula y = mx + b.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula to 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

Convert the equation y - 3 = -2(x + 4) into slope-intercept form.

Back

The slope-intercept form is y = -2x - 5.

Front

What is the slope of the line represented by the equation y = -rac{1}{5}x + 2?

Back

The slope of the line is -rac{1}{5}.

Front

If two lines have slopes of -rac{1}{5} and -rac{1}{5}, what is their relationship?

Back

The lines are parallel.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

How do you determine if two lines are perpendicular given their slopes?

Back

If the product of their slopes equals -1, the lines are perpendicular.