# math

posted by .

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 -

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

• math -

Y=-1/4x+8

## Similar Questions

1. ### Math 10

1 more question.... how would I make this equation perpendicular?
2. ### Geometry

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can some …
3. ### Writing this equation

how do I write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (-6, 2). The line you are given can have its equation rewritten im y = mx + b as: y = 2x - 10/3 That tells you that is slope is m …
4. ### Algebra

Can someone check my answers? 1. Write the equation of the line that passes through point (–2, 3) with a slope of –4. Answer: y = -4x - 5 2. Find the slope and y-intercept. x = –8 Answer: Slope: undefined; y-intercept: none 3.
5. ### geometry

Martin drew a pair of perpendicular lines and a pair of parallel lines. Which of these statements best compares the pairs of perpendicular and parallel lines?
6. ### Algebra 1

1.To solve the linear system below, which substitution of unkowns is proper ?
7. ### Pre- Algebra

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to …
8. ### algebra 1

parallel and perpendicular lines write the slope-intercept for an equation of the line that passes through the given point and is perpendicular to the graph of each equation (4-2) y=1/2 +1, ( 2,-3) y= -2/3+4 (-8,-7) y=-x-8 (6,-2) y=-3x-6
9. ### math

19. Which statement describes the relationship between the line graphs of the equations below?
10. ### geometry

find the slope of a line that passes through the following points. (4,5) and (3,0) using the perpendicular and parallel slopes write slope intercept form equations for both perpendicular and parallel lines all perpendicular lines pass …

More Similar Questions