# calculus

posted by .

write equation of line that passes through the point
1)parallel to the given line
2)perpendicular to the given line

pt (6,2)
line -9x+9y=144

a)para -9x+9y=-72
perp -9x-9y=-36

b)para -9x-9y=-36
perp -9x-9y=-72

c)para 9x+9y=-36
perp 9x-9y=-72

d)para -9x-9y=-72
perp -9x-9y=-72

• calculus -

Write equations in the form

y = m x + b

then m is the slope

then put the coordinates in to get b

in this case
9 y = 9 x + 144
or
y = 1 x + 16
slope is 1 so parallel is
y = x + b
through (6,2)
2 = 6 + b
b = -4
so for parallel y = x - 4
or
9 y = 9 x - 36
9x - 9y = 36
So I get none of the above for the parallel line. Typo?

• calculus -

sorry I can't seem to type this morning

b) para -9x+9y=-36
perp -9x-9y=-72

• calculus -

ok for parallel

now perp
y = -x +b
(6,2)
2 = -6+b
b = 8
so
y = -1x + 8
9y = -9x + 72
-9x - 9y = -72 yes

## Similar Questions

1. ### Geometry

How do I write an equation of a line perpendicular to the graph of -2y + x =-5 that passes through the point at (1,2) Given the line -2y + x =-5, solve for y so the equation is in this form: y = mx + b Once you know the slope, m, you …
2. ### Algebra 1

Write an equation in slope-intercept form for a line that passes through the given point and is perpendicular to the given line. 1. y=3;(4,-2) The y = 3 line is parallel to the x axis so the perpendicular line you want is parallel …
3. ### Math

If S is the subspace of R^3 containing only the zero vector, what is S perp ?
4. ### college alg

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept …
5. ### Calculus

Write an equation of the line that passes through the point (i) parallel to the given value, and (ii) perpendicular to the given line. Point(7,1) Line(-5x-5y=90)
6. ### 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 …
7. ### Algebra 1

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Y=-4/5x+3 4x-5y=-15 (1 point) Parallel Perpendicular*** Neither Write an equation of a line that is perpendicular to the given line and that …
8. ### math

I need help with "write in equation in slope-intercept form for the line that is parallel to to the given line line and and that passes through the given point. y=1/2x=5;(4,-3) How do you find a line that is perpendicular. Please and …
9. ### Math

For the given point and line, find by projection the point on the line that is closest to the given point and use perp to find the distance from the point to the line. P (3,-5) line: x = (2,-4)+t(3,-4)
10. ### Math

Write an equation for the line that is parallel to the given line and passes through the given point. y=3x+4;(6,8) A. y=3x-10 B. y=3x+6 C. y=-3x+6 D. y=-1/3x-6 Tell whether the lines for each pair of equations are parallel, perpendicular, …

More Similar Questions