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

The value of n = -10

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