Question

Given that a line has a slope of 5 and a point on the line is (2, 3), *Please show all work, step by step. 1. What is the equation of the line in point-slope form

Answer 1

`\large\boxed{y-3=5(x-2)}`

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point

We have the slope m = 5 and the point (2, 3) → x₁ = 2, y₁ = 3.

Substitute:

`y-3=5(x-2)`