aron is reading a graph of equivalent ratios. If one of the ratios is represented as (6, 2), which could be another ratio? (1, 3) (3, 1) (8, 12) (12, 8)

Answer

(3,1)

Explanation

(6,2) is the same as (3,1) because the x value and y value are proportional, meaning you multiplied or divided both the x value and y value by the same number.

6 divided by 2 is 3.

2 divided by 2 is 1.

(1,3) doesn't work because the x value and y value are switched.

6 divided by 6 is 1.

2 divided by 6 is not 3.

(8,12) doesn't work because the x value and y value are switched... and it wouldn't work anyways.

6 divided by 3/4 is 8.

2 divided by 3/4 is not 2.

(12,8) doesn't work because the x value and y value aren't proportional.

12 divided by 2 is 6.

8 divided by 2 is not 6.

Therefore only (3,1) could be another ratio to (6,2).

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is