Question

HELP NOW PLS !!! 100 POINTS

The points (5,8) and (10,2) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answer 1

`y-8=-(6)/(5)(x-5)`

Explanation:

Define the given points:

• (x₁, y₁) = (5, 8)
• (x₂, y₂) = (10, 2)

First find the slope of the line by substituting the given points into the slope formula:

`\implies \textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)=(2-8)/(10-5)=-(6)/(5)`

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

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

`\implies y-8=-(6)/(5)(x-5)`