Question

Let line 1 and line 2 be perpendicular lines.
If line 1 has a slope of - 2/7 , find the slope of line 2

Answer 1

a perpendicular line will have a NEGATIVE RECIPROCAL slope
so if say a line has a slope of \(\bf \cfrac{a}{{\color{blue}{ b}}}\quad perpendicular\quad negative\to -\cfrac{a}{{\color{blue}{ b}}}\quad reciprocal\to -\cfrac{{\color{blue}{ b}}}{a}\)

Answer 2

is it 7/-2?

Answer 3

well - * - 2/7 = +2/7

Answer 4

\(\bf -\cfrac{2}{{\color{blue}{ 7}}}\quad perpendicular\quad negative\to +\cfrac{2}{{\color{blue}{ 2}}}\quad reciprocal\to +\cfrac{{\color{blue}{ 7}}}{2}\)

Answer 5

so 2/7?

Answer 6

woops typos anyhow \(\bf -\cfrac{2}{{\color{blue}{ 7}}}\quad perpendicular\quad negative\to +\cfrac{2}{{\color{blue}{ 7}}}\quad reciprocal\to +\cfrac{{\color{blue}{ 7}}}{2}\)

yeap

Answer 7

or 7/2?