8.5I All Representations Review

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

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant from left to right.

Front

Write the equation for a line with a slope of 2 that passes through the point (1, 3).

Back

The equation is y = 2x + 1.

Front

What is the meaning of the term 'flat fee' in a pricing model?

Back

A flat fee is a fixed charge that does not change regardless of the amount of service provided.

Front

How do you convert a word problem into a mathematical equation?

Back

Identify the variables, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What is the formula for calculating total cost when there is a base fee and a variable fee?

Back

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

Front

If Nicole charges $3 plus $5 per hour, what is the equation for her total charge after h hours?

Back

C = 5h + 3.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.