Question

The slope of a line is 5. A (2, 1) is a point on the line. Another point, B, on the line has y=81. What is the x-value at this point, as denoted by d?

Answer 1

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: brainly.com/question/19012287

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