Question

Please help me

Which equation is graphed here ?

A) 4y-x=14
B) x+ 4y=14
C) 4x-y=14
D) x-4y=14

Answer 1

C) 4x-y=14

Explanation:

The two points this line goes through are (4, 2) and (6, 10). We will first find the slope, using the formula

`m=(y_2-y_1)/(x_2-x_1)`

Using the values for our points, we have

m = (10-2)/(6-4) = 8/2 = 4

Next we plug this into point slope form,

`y-y_1=m(x-x_1)`

y-2 = 4(x-4)

Using the distributive property on the right, we have

y-2 = 4(x)-4(4)

y-2 = 4x-16

Add 2 to each side:

y-2+2 = 4x-16+2

y = 4x-14

Add 14 to each side:

y+14 = 4x-14+14

y+14 = 4x

Subtract y from each side:

y+14-y = 4x-y

14 = 4x-y

This can also be written as 4x-y = 14.

Answer 2

Answer: C

Step-by-step explanation:

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