Illustrative Math Grade 8 Unit 3 Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line. It is calculated as (change in y) / (change in x).

Front

What does a horizontal line represent in slope-intercept form?

Back

A horizontal line represents a constant value of y, which can be expressed in slope-intercept form as y = b, where b is the y-value of the line.

Front

What does a vertical line represent in slope-intercept form?

Back

A vertical line cannot be expressed in slope-intercept form because it does not have a defined slope. It can be expressed in the form x = a, where a is the x-value of the line.

Front

How do you calculate the total cost of renting a venue with a fixed fee and a variable hourly rate?

Back

To calculate the total cost, use the formula: Total Cost = Fixed Fee + (Hourly Rate × Number of Hours).

Front

What is the y-intercept in the equation y = -1/3x + 4?

Back

The y-intercept in the equation y = -1/3x + 4 is 4, which is the value of y when x = 0.

Front

How can you identify the slope from the equation y = 5/6x + 1?

Back

The slope in the equation y = 5/6x + 1 is 5/6, which indicates the line rises 5 units for every 6 units it runs to the right.

Front

What is the significance of the initial charge in a rental cost problem?

Back

The initial charge is a fixed cost that must be paid regardless of the duration of the rental, and it is added to the variable costs based on usage.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What does the term 'rise' refer to in the context of slope?

Back

In the context of slope, 'rise' refers to the vertical change between two points on a line.