Question

(x,-4) and (2,8): m = -3 find the missing value. it is in slope formula.

Answer 1

Answer:

The value of x = 6

Step-by-step explanation:

Given

• The point (x,-4)

• The point (2,8)

To determine

• m = -3

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

here:

• (x₁, y₁) = (x, -4)

• (x₂, y₂) = (2, 8)

• m = -3

so substitute (x₁, y₁) = (x, -4) , (x₂, y₂) = (2, 8)  and m = -3

m =  [y₂ - y₁] /  [x₂ - x₁]

-3 =  [8 - (-4)] / [2 - x]

-3 = [12] / [2-x]  

-3 (2-x) = 12

-6+3x = 12

3x = 12+6

3x = 18

divide  both sides by 3

3x/3 = 18/3

x = 6

Therefore, the value of x = 6