Unit 4 Review - Honors

Front

What is the formula to calculate the total cost of a towing service that charges a flat fee plus a variable cost per mile?

Back

y = x + 10, where y is the total cost and x is the number of miles towed.

Front

What is a function in mathematical terms?

Back

A function is a relation where each x value has only one corresponding y value.

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.

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

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

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 y when x = 0.

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -1x + 2.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per mile, or other ratios.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.