Find the value of k so that the line through points (-3, 2k) and (k,6) has a slope of 4

-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:

.

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:

Cross multiply:

Distribute:

Add 4k on both sides:

Add 6 on both sides:

Divide both sides by 6:

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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answer: d. $20

step-by-step explanation:

just took the test