gerri purchases a coupon book with discounts for her favorite coffee shop. every coupon for the coffee shop…

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. coffee shop coupon savings\n| x | y |\n|----|----|\n| 0 | -20 |\n| 5 | -10 |\n| 10 | 0 |\n| 15 | 10 |\n| 20 | 20 |\nwhat are the slope and y - intercept of the line represented by the points shown in the table?\nslope: 2, y - intercept: -20\nslope: 2, y - intercept: 10\nslope: 5, y - intercept: -20\nslope: 5, y - intercept: 10

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. coffee shop coupon savings\n| x | y |\n|----|----|\n| 0 | -20 |\n| 5 | -10 |\n| 10 | 0 |\n| 15 | 10 |\n| 20 | 20 |\nwhat are the slope and y - intercept of the line represented by the points shown in the table?\nslope: 2, y - intercept: -20\nslope: 2, y - intercept: 10\nslope: 5, y - intercept: -20\nslope: 5, y - intercept: 10

Answer

Answer:

slope: 2, y - intercept: -20

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0, - 20)$ and $(x_2,y_2)=(5,-10)$.

Step2: Calculate the slope

$m=\frac{-10-(-20)}{5 - 0}=\frac{-10 + 20}{5}=\frac{10}{5}=2$.

Step3: Identify y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y=-20. So the y - intercept is -20.