Writing & Graphing Two-Variable Equations

Front

What is a two-variable equation?

Back

A two-variable equation is an equation that contains two different variables, typically represented as x and y, and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a two-variable equation represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a two-variable equation?

Back

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

Front

Write the equation for the total cost of x pounds of chocolate costing $5.25 per pound.

Back

y = 5.25x

Front

Write the equation for the total cost of p pizzas at $12 each plus $3 delivery.

Back

c = 12p + 3

Front

What is the independent variable in the equation c = 12p + 3?

Back

The independent variable is p (the number of pizzas).

Front

Write the equation for the total earnings t from mowing n lawns at $20 each.

Back

t = 20n

Front

If Nancy types 50 words per minute, how would you express the relationship between minutes m and words w typed?

Back

w = 50m

Front

What is the dependent variable in the equation w = 50m?

Back

The dependent variable is w (the number of words typed).

Front

How do you identify the independent variable in a two-variable equation?

Back

The independent variable is the one that you can control or change, while the dependent variable depends on the value of the independent variable.