Question

15. The value of k, such that slope 1 point
of the line passing through the
points (2, 4) and (-1, K) is 3

Answer 1

Step-by-step explanation:

please mark me as brainliest

Answer 2

The value of K = - 5

Given :

The slope of the line passing through the points (2, 4) and (-1, K) is 3

To find :

The value of K

Solution :

Step 1 of 3 :

Find slope of the line

Here it is given that the line passes through the points (2, 4) and (-1, K)

Slope of the line

$\displaystyle \sf{ = \frac{K - 4}{ - 1 - 2} }$

$\displaystyle \sf{ = \frac{K - 4}{ - 3} }$

$\displaystyle \sf{ = - \frac{K - 4}{ 3} }$

Step 2 of 3 :

Form the equation

The slope of the line is 3

By the given condition

$\displaystyle \sf{ - \frac{K - 4}{ 3} } = 3$

Step 3 of 3 :

Find the value of K

$\displaystyle \sf{ - \frac{K - 4}{ 3} } = 3$

$\displaystyle \sf{ \implies K - 4 = - 9}$

$\displaystyle \sf{ \implies K = - 9 + 4}$

$\displaystyle \sf{ \implies K = - 5}$

The value of K = - 5