# Finding lines through given point perpendicular and parallel to given line

#### swag312

##### New member
Hey, not sure how to translate this from my native language, I hope you understand what I mean.

Write down for the line
y = 2x + 3 perpendicular and parallel lines passing through the point
(1; 1) equations.

#### skeeter

##### Well-known member
MHB Math Helper
Hey, not sure how to translate this from my native language, I hope you understand what I mean.

Write down for the line
y = 2x + 3 perpendicular and parallel lines passing through the point
(1; 1) equations.
using the point-slope form, $y-y_1 = m(x-x_1)$

parallel lines have the same slope ...

$y-1 = 2(x-1)$

perpendicular lines have slopes that are opposite reciprocals ...

$y - 1 = -\dfrac{1}{2}(x-1)$

... and this post belongs in Pre-algebra and Algebra, not Linear and Abstract algebra