8th Grade Math Refresher

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in 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 of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is a y-intercept?

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 do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the product of three negative numbers?

Back

The product of three negative numbers is negative.

Front

What is a linear equation?

Back

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

Front

How do you represent a real-world situation with a linear equation?

Back

Identify the variables, determine the relationship, and express it in the form y = mx + b.

Front

What is the formula for calculating total cost with a fixed fee and a variable cost per unit?

Back

Total Cost (C) = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable.