math
posted by mota .
parallel and perpendicular lines
Determine an equation of each of the following lines .
*the line perpendicular to y4=0 and passing through the point (1,6)
** the line perpendicular to 3x12y+16=0 and having the same yintercept as the line 14x13y52=0
and explain ....

math 
Damon
Put y4 = 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 
Kobee
Y=1/4x+8
Respond to this Question
Similar Questions

Math 10
1 more question.... how would I make this equation perpendicular? 
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 twocolumn proof. Hint draw a DIAGRAM with the points labeled. Can some … 
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 … 
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 yintercept. x = –8 Answer: Slope: undefined; yintercept: none 3. 
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? 
Algebra 1
1.To solve the linear system below, which substitution of unkowns is proper ? 
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 slopeintercept form. 1. y= 2x 4; (1, 3) how do I write the equation of a line parallel to … 
algebra 1
parallel and perpendicular lines write the slopeintercept for an equation of the line that passes through the given point and is perpendicular to the graph of each equation (42) y=1/2 +1, ( 2,3) y= 2/3+4 (8,7) y=x8 (6,2) y=3x6 
math
19. Which statement describes the relationship between the line graphs of the equations below? 
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 …