Final Exam Review Day 3

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes, because they satisfy the Pythagorean theorem: 9² + 12² = 15².

Front

What is the formula for the total cost of a holiday meal for x people, given a cost of $12.50 per person and a delivery fee of $30?

Back

y = 30 + 12.5x.

Front

Solve for x: 2x + 5 = 45.6

Back

x = 20.3.

Front

What is the y-intercept of the line represented by the equation y = 2x + 4?

Back

The y-intercept is 4.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is 2.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases.