Question

What is the slope of the line? Hint: Note the scales for the x and y axis.

What is the y - intercept of the line?
What is the equation of the line? y = x +
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.

Answer 1

y = (-1 visit/block)x + 9 visits

6 visits

Explanation:

The y-intercept is 9 (meaning 9 visits per week).

Note that (1, 8) is a point on the line.

To find the equation of this line, start with the slope-intercept form y = mx + b. We know that when x = 1, y = 8 and that the y-intercept, b, is 9. Therefore:

8 = m(1) + 9.

Solve this by subtracting 9 from both sides. We get:

-1 = m

The slope is m = -1 visits/block

and the desired equation is y = (-1 visit/block)x + 9 visits

If a particular coffee shop is 3 blocks away, we predict that the number of visits per week made to this shop is y = -1(3) + 9, or 6 visits