Adv BIG 25 #11

Front

What is the solution to the equation \(-2|−2r − 4| = -12\)?

Back

The solution is \{ -5, -1 \}.

Front

How do you find the slope of a line given two points, for example, (14, -8) and (7, -6)?

Back

The slope \(m\) is calculated using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). For these points, the slope is \(-\frac{2}{7}\).

Front

What is the solution to the equation \(p = -3\)?

Back

The solution is \(p = -3\).

Front

What is the slope of a line perpendicular to the line given by the equation \(y = -3x + 12\)?

Back

The slope of a line perpendicular to this line is \(\frac{1}{3}\).

Front

Solve the inequality \(-3(9 + x) ≥ -21\).

Back

The solution is \(x ≤ -2\).

Front

What is the definition of slope in a linear equation?

Back

Slope is the measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What is the formula for calculating the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\)?

Back

The formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).