Question

The slope of the line joining the points (2,k-3)and(4,-7)is 3 .the value of k will be ???

Answer 1

Slope = -7-(k-3)/4-2
3 = -7-k+3/2
6 = -4+k
So k = 10

Answer 2

Answer-

The value of k is -10.

Solution-

The two given points are (2, k-3), (4, -7).

Also the slope of the line joining these two points is 3.

Slope between two points is given by,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Here,

x₁ = 2

y₁ = k-3

x₂ = 4

y₂ = -7

Putting the values,

$\Rightarrow 3=\dfrac{-7-(k-3)}{4-2}$

$\Rightarrow 3=\dfrac{-7-k+3}{2}$

$\Rightarrow -4-k=6$

$\Rightarrow -4-6=k$

$\Rightarrow k=-10$

Therefore, the value of k is -10.