Posted by **mota** on Tuesday, January 8, 2008 at 4:17am.

parallel and perpendicular lines

Determine an equation of each of the following lines .

*the line perpendicular to y-4=0 and passing through the point (-1,6)

** the line perpendicular to 3x-12y+16=0 and having the same y-intercept as the line 14x-13y-52=0

and explain ....

- math -
**Damon**, Tuesday, January 8, 2008 at 4:29am
Put y-4 = o into the form

y = m x + b

y = 0 x + 4

now the slope of the line perpendicular to that is -1/m = -1/0 which is undefined so we will have to use our heads.

y = 4 is a horizontal line through y = 4, x = anything.

x = constant, any constant, is perpendicular to y = 4

So we want the vertical line x = -1

That line, x = -1 , passes through all values of y including 6

---------------------------------------

Now

3x -12 y + 16 = 0

12 y = 3 x + 16

y = (1/4)x + 4/3

what is slope of perpendicular?

m' = -1/(1/4) = -4

so the line we want is

y = -4 x + b

what is b?

well when x = 0, -13 y = 52

y = -52/13

so

-52/13 = -4(0) + b

b = -52/13

so

y = -4x -52/13

## Answer This Question

## Related Questions

- geometry - find the slope of a line that passes through the following points. (4...
- Math 10 - 1 more question.... how would I make this equation perpendicular? The ...
- geometry - Martin drew a pair of perpendicular lines and a pair of parallel ...
- Writing this equation - how do I write the equation of a line perpendicular to ...
- Algebra 1 - 1.To solve the linear system below, which substitution of unkowns is...
- geometry - Create a wrapping paper design that includes at least four of the ...
- Algebra 1 - Tell whether the lines for the pair of equations are parallel, ...
- Geometry - Prove that the tangents to a circle at the endpoints of a diameter ...
- math - 19. Which statement describes the relationship between the line graphs of...
- algebra 1 - parallel and perpendicular lines write the slope-intercept for an ...

More Related Questions