Find the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: (3,7),(5,8)

taumulurtulkyoy

taumulurtulkyoy

Answered question

2022-10-31

Find the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: (3,7),(5,8)

Answer & Explanation

Kash Osborn

Kash Osborn

Beginner2022-11-01Added 18 answers

First of all, we need to find the gradient of the line passing through (3,7) and (5,8)
gradient = 8 - 7 5 - 3
gradient = 1 2
Now since the new line is PERPENDICULAR to the line passing through the 2 points, we can use this equation
m 1 m 2 = - 1 where the gradients of two different lines when multiplied should equal to −1 if the lines are perpendicular to one another ie at right angles .
hence, your new line would have a gradient of 1 2 m 2 = - 1
m 2 = - 2
Now, we can use the point gradient formula to find your equation of the line
y−0=−2(x−0)
y=−2x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?