Question

PLEASE HELP ME THX YALL. in each box of donuts there are six more chocolate donuts than jelly donuts the relationship is represented by the table

Answer 1

Answer:

Option A. The y-intercept of the line representing the relationship is 6

Step-by-step explanation:

Let

x ---> the number of jelly donuts

y ---> the number of chocolate donuts

step 1

Find the slope of the linear equation

take the points

(4,10) and (8,14)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{14-10}{8-4}$

$m=\frac{4}{4}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (4,10)$

substitute

$y-10=(1)(x-4)$

Convert to slope intercept form

isolate the variable y

$y=x-4+10\\y=x+6$

therefore

The y-intercept of the line representing the relationship is 6