Saint's Alg1 Makeup 2024-11-26

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the equation for a linear function?

Back

A linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

To solve a system of equations by graphing means to plot both equations on the same graph and identify the point(s) where they intersect.

Front

What are the possible outcomes when solving a system of equations?

Back

The possible outcomes are: One Solution (intersecting lines), No Solution (parallel lines), or Infinitely Many Solutions (coincident lines).

Front

What is the formula for calculating a monthly bill with a base fee and a variable cost?

Back

C = base fee + (variable cost per unit * number of units used).

Front

If Juanita's cell phone bill is represented by C = 15 + 0.20x, what does each term represent?

Back

C represents the total monthly bill, 15 is the base fee, and 0.20x represents the cost per minute of airtime used.