Writing Equations

Front

What is the equation representing the cost, y, of renting a canoe for x hours if a canoe rental service charges a $20 transportation fee and $30 dollars an hour?

Back

y = 30x + 20

Front

In the equation y = mx + b, what does 'b' represent?

Back

y-intercept

Front

Write the equation of the line in slope-intercept form for a bathtub being drained, where the graph shows the remaining amount of water in gallons, y, and the time in seconds, x.

Back

y = -\frac{1}{5}x + 32

Front

How do you find the slope of a line?

Back

The slope is calculated as the change in y divided by the change in x (rise/run).

Front

If a fitness club opens with 80 members and increases by 15 members each month, what is the equation representing the total membership, y, after x months?

Back

y = 15x + 80

Front

What is the slope of the line represented by the equation y = 7/5x + 3?

Back

7/5

Front

What does the slope of a line indicate in a real-world context?

Back

The slope indicates the rate of change between the two variables represented in the equation.

Front

If the equation of a line is y = -2x + 5, what is the y-intercept?

Back

5

Front

How do you convert the equation y = 3x + 4 into standard form?

Back

3x - y = -4

Front

What is the meaning of the term 'slope-intercept form'?

Back

It is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.