The x-value at the point, denoted by d, is 18
Slope of a line
From the question, we are to determine the x-value at point B on the line
Given the points (x₁, y₁) and (x₂, y₂) on a line.
The slope, m, of a line with two points (x₁, y₁) and (x₂, y₂) on the line is given by the formula
m = (y₂ - y₁)/(x₂ - x₁)
From the given information,
Point A is (2, 1)
Point B is (d, 81)
That is,
x₁ = 2
y₁ = 1
x₂ = d
y₂ = 81
and
slope, m = 5
Thus,
5 = (81 - 1) / (d - 2)
5 = 80/(d -2)
5(d - 2) = 80
5d - 10 = 80
5d = 80 + 10
5d = 90
d = 90/5
d = 18
Hence, the x-value at the point, denoted by d, is 18
Learn more on Slope of a Line here: https://brainly.com/question/19012287
#SPJ1
