Writing Equations from Tables and Graphs Extra Credit

Front

What is the equation for a linear relationship where the output decreases by 8 when the input increases by 1?

Back

y = x - 8

Front

If a choir of 30 members has raised $600 and needs to raise a total of $1500, which equation represents the amount each member needs to raise?

Back

30x + 600 = 1500

Front

What is the algebraic equation for a linear relationship where the output decreases by 3 when the input increases by 1?

Back

y = x - 3

Front

What is the pattern in a table where the output is three times the input?

Back

Multiplying the number of shots by 3

Front

If the number of bubbles blown is 12 times the number of minutes, what is the equation that represents this relationship?

Back

b = 12m

Front

What does the slope of a linear equation represent?

Back

The rate of change between the two variables.

Front

How do you determine the y-intercept of a linear equation from a table?

Back

Look for the value of y when x is 0.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the equation of a line given two points?

Back

Use the slope formula to find m, then use one point to solve for b.

Front

What does it mean if a linear equation has a slope of 0?

Back

The line is horizontal, indicating no change in y as x changes.