the line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and (1,-6) what is the value of k ?

The value of k is:

Step-by-step explanation:

Given

The line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and (1,-6).

To determine

what is the value of k?

To determine the value of k, the first step we need to do is to find the slope of the line containing the points (5,3) and (1,-6) using the formula

Here:

now substituting (x₁, y₁) = (5, 3)  and (x₂, y₂) = (1, -6) in the formula

Apply the fraction rule:  

Thus, we conclude that the slope of the line containing the points (5,3) and (1,-6) will be:

Importing Tip:

Thus, using the slope formula for the line containing the points (-3,k) and (4,8).

Here:

As we know that the parallel lines have the same slopes.

Thus, the second step we need to do is to substitute m = 9/4 in the slope formula

now substituting (x₁, y₁) = (-3, k)  and (x₂, y₂) = (4, 8) in the formula

switch sides

Multiply both sides by 7

Simplify

Subtract 8 from both sides

Simplify

Divide both sides by -1

Simplify

Therefore, the value of k is:

VERIFICATION:

As the value of k = -31/4.

So the first line will contain the points:

Finding the slope between (-3, -31/4) and (4, 8) using the slope formula

Here:

so substituting (x₁, y₁) = (-3, -31/4)  and (x₂, y₂) = (4, 8) in the formula

Apply rule:  

Add the numbers:  

          ∵

Apply fraction rule:  

Cancel the common factor:  7

So, the slope of the line containing the points (-3,k) and (4,8) is m = 9/4. It means both lines have the same slopes. Hence, they are parallel.  

Therefore, we conclude that the value of k = -31/4 is true.

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

use google you idiot omg you're so annoying

step-by-step explanation: