Write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (-6,2) please help

Question

Write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (-6, 2). Show all your work for credit. thanks!

Answer 1

slope of 6x – 3y=10 is: 6/3=2
so slope of perpendicular line is: -1/2
and the equation is:
y+6 = -1/2 ( x -2) !

Answer 2

This type of problem is always fun, because it has just a few easy steps!

First, it's important to know that perpendicular lines have slopes that are "related". They are related by being the "opposite reciprocals" of each other. So, if we knew the slope of the given line, we could "flip it" and "change its sign" and then know the slope of the new (perpendicular) line.

Let's find the given line's slope, by solving its equation for y:

6x - 3y = 10
- 3y = -6x + 10
y = 2x - 10/3

This reveals that the given line's slope is "2" and its y-intercept is "-10/3". We'll just be using the information "m=2."

What would the perpendicular line's slope be? Let's "flip" and "change" 2:

m = 2 becomes m(perp) = -1/2

Now, we can "build" the equation of the perpendicular line, using the new slope of -1/2.

y = (-1/2)x + b

How do we find the unknown y-intercept, b? By substituting the values of x and y of the given point (-6,2) into this equation:

2 = (-1/2) (-6) + b

Now solve:

2 = 3 + b
-1 = b

Re-write the full equation:

y = (-1/2)x - 1

That's it!

Answer 3

locate the slope: 6x - 3y = 10 y = 2x - 10/3 hence the slope is two The slope of a perpendicular line is the adverse reciprocal of the slope or -a million/2 to this point we've y = -a million/2x for the equasion of the perpendicular line we favor it to comprise the point (-6,2) so: y - 2 = -a million/2(x + 6) After simplification the most suitable equasion is: y + a million/2x = a million

Answer 4

perpendicular is the opposite slope, example m=3 perpen. slope=0=-1/3

6x-3y=10 or -3y=-6x+10
Slope equals 2 y=2x-10/3

y-2=-1/2(x+6) is your final product. but your not gonna learn this way

Answer 5

y = mx+b

6x – 3y=10
-3y = -6x + 10
y = 2x - [10/3]

Perpendicular has negative inverse slope so
m= -1/2

plug into y=mx+b

2 = -1/2 * -6 + b
2 = 3 + b
b = -1

y=mx+b
y= -(1/2)x - 1

Answer 6

6x – 3y=10

-3y=10-6x

y/-3=(10-6x)/-3

y=(10/-3)-2x

slope=2/1

y=-1/2x+b

2=-1/2(-6)+b

2=3+b

-1=b

y=-1/2x-1

Answer 7

y=2x-10/3
perp slope= -1/2
y=mx+b
2=-.5(/6)+b
b=-1
y= -1/2x-1

Answer 8

say what?