Question

Relationship B has a greater rate than Relationship A. This
graph represents Relationship A.
10
Which equations could represent Relationship B?
9
8
Select each correct answer.
7
6
O y = 2.2x
5
4
* (2, 4
3
Oy= ja
2
1
Dy= 3х
O y = 1.4x

Answer 1

Slope:-

$\\ \sf\longmapsto \dfrac{4-8}{2-4}=\dfrac{-4}{-2}=2$

Equation

• y=2x

As equation B is greater than Equation A so

• y=3x

Option C is correct

Answer 2

Answer:

(4 , 8 ) (2,4)

In the equation,

y = mx + c

m => slope

c => y intercept

First, Let us find the slope

$m = \frac{y1 - y2}{x1 - x2} \\ m = \frac{8 - 4}{4 - 2} \\ m = \frac{4}{2} \\ m = 2$

Now let's find the y intercept

$(4 \: \: 8) \\ y = mx + c \\8 = 2 \times 4 + c \\ 8 = 8 + c \\ 8 - 8 = c \\ 0 = c$

So, the equation of the line A is,

y = mx + c

y = 2x + 0

y = 2x

As the relationship B is greater than the relationship A

The answers should be,

$y = 2.2x \: \\ or \\ y = 3x$

Hope this helps you.

Let me know if you have any other questions :-):-)