Question

A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n? n =

Answer 1

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

• (3, n)

• (4,0)

Finding the slope between (3, n) and (4,0)

$\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)$

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10