Question

PLEASE HELP!! 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.


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:

Slope:2,Y-intercept:-20

Step-by-step explanation:

Table showing total savings,y,based on the number of coupons,x,used from the book is attached.

We have many points provided in table.

y-intercept : Co-ordinate of y when x-coordinate is 0.

From table, when x=0: y=-20.

Hence, y-intercept is -20.

Declare :

$x_1=0,y_1=-20\\ \\x_2=5,y_2=-10\\ \\m,Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-10-(-20)}{5-0}=2$

Hence, slope is 2.

We can write x,y in terms of each other using equation of line.

$(y-y_1)=m(x_2-x_1)\\ \\(y-(-20))=2(x-0)\\ \\y=2x-20$

Answer 2

Answer:

Step-by-step explanation: