Write Equations of Lines Word Problems (ID given)

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, representing the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you identify the independent variable in a word problem?

Back

The independent variable is the one that is manipulated or changed, often representing time, quantity, or another measurable factor.

Front

What is a linear equation?

Back

A linear equation is an equation that models a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to find the slope and y-intercept from a word problem?

Back

It means to extract the rate of change (slope) and the starting value (y-intercept) from the context of the problem.

Front

How can you determine the cost of a phone call based on time?

Back

By identifying the initial cost and the additional cost per minute, you can create a linear equation to represent the total cost as a function of time.

Front

What is the relationship between the number of days and the amount of money remaining in a spending problem?

Back

The number of days is the independent variable (x), while the amount of money remaining is the dependent variable (y), which changes based on the spending rate.

Front

How do you represent a situation with two points on a graph?

Back

You can plot two points on a coordinate plane, where each point represents a specific value of the independent variable (x) and the corresponding dependent variable (y).

Front

What is the significance of identifying two points in a word problem?

Back

Identifying two points allows you to calculate the slope and create a linear equation that models the relationship between the variables.

Front

How do you write an equation from a word problem involving spending?

Back

Identify the initial amount, the rate of spending, and the time period to formulate an equation that relates these variables.