Mathematics: 6x+2+11x+8=180 what s the value of x?

6x+2+11x+8=180 what s the value of x? - id6211818012725279, alisonlebron15

cayden81

21.08.2021

-1

Step-by-step explanation:

To find the slope, I'm going to line up the points and subtract.

I will then put 2nd difference over first difference.

( -3 , 2k)

-( k , 6)

-----------------

-3-k , 2k-6

So the slope in terms of k is:

$\frac{2k-6}{-3-k}$ .

We are also given the slope is 4 or 4/1.

This means we have the following equation to solve for k such that the slope is 4:

$\frac{2k-6}{-3-k}=\frac{4}{1}$

Cross multiply:

1(2k-6)=4(-3-k)

Distribute:

2k-6=-12-4k

Add 4k on both sides:

6k-6=-12

Add 6 on both sides:

6k=-6

Divide both sides by 6:

k=-1

So k has to have a value of -1 for the slope to be 4.

Let's check:

(-3,-2)

(-1,6)

--------Subtracting

-2,-8

So -8/-2 is 4.

The check is good and the value for k as -1 as been verified.

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