QuestionA line that includes the points $(6, u)$ and $(8,-2)$ has a slope of 4 . What is the value of $u$ ? $u=$
Submit

Studdy Solution

STEP 1

1. The line passes through the points $(6, u)$ and $(8, -2)$ .
2. The slope of the line is 4.
3. We need to find the value of $u$ .

STEP 2

1. Recall the formula for the slope of a line.
2. Substitute the known values into the slope formula.
3. Solve the equation for $u$ .

STEP 3

Recall the formula for the slope of a line. The slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$m = \frac{y_2 - y_1}{x_2 - x_1}$

STEP 4

Substitute the known values into the slope formula. We know the slope $m = 4$ , $(x_1, y_1) = (6, u)$ , and $(x_2, y_2) = (8, -2)$ . Substitute these into the formula:
$4 = \frac{-2 - u}{8 - 6}$

STEP 5

Solve the equation for $u$ .
First, simplify the denominator:
$4 = \frac{-2 - u}{2}$
Multiply both sides by 2 to eliminate the fraction:
$8 = -2 - u$
Add 2 to both sides to isolate $u$ :
$8 + 2 = -u$ $10 = -u$
Multiply both sides by -1 to solve for $u$ :
$u = -10$
The value of $u$ is:
$u = \boxed{-10}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms