Writing linear equations from word problems

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept in a linear equation?

Back

Front

Write the equation for a phone service that charges $0.12 per minute plus a monthly fee of $8.00.

Back

Front

If Joe saves $40 per month starting with $150, what is the equation for his savings after x months?

Back

Front

What is the formula for converting a word problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients represent the rate of change (slope) and the constant term represents the y-intercept.

Front

How can you determine if a table of values represents a linear relationship?

Back

If the differences between the y-values divided by the differences between the x-values are constant, the relationship is linear.