Question

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

A table showing Coffee Shop Coupon Savings with 2 columns and 6 rows. The first column, x, has the entries, 0, 5, 10, 15, 20. The second column, y, has the entries. negative 20, negative 10, 0, 10, 20.
What are the slope and y-intercept of the line represented by the points shown in the table?

slope: 2, y-intercept: –20
slope: 2, y-intercept: 10
slope: 5, y-intercept: –20
slope: 5, y-intercept: 10

Answer 1

Answer:

here is the answer

Step-by-step explanation:

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = deltaY/deltaX = -20+10/0-5 = 2

Slope 2

Choice : A

Answer 2

The slope and y-intercept of the line represented by the points shown in the table are (a) slope: 2, y-intercept: –20

The entries on the table can be represented using the following ordered pair:

$(x,y) \to \{(0.-20) \ (5,-10)\ (10,0)\ (15,10)\ (20,20)\}$

The y-intercept is the y-value when the x-value of the function is 0.

From the ordered pair above,

y = -20, when x = 0

So, the y-intercept is -20

The slope (m) is calculated using:

$m=\frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m=\frac{-20 --10}{0-5}$

$m=\frac{-10}{-5}$

Divide

$m = 2$

So, the slope is 2

Hence, the true statement is (a) slope: 2, y-intercept: –20

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