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 = 2. A line that is perpendicular to that must have a slope of -1/2, because the product of slopes of perpendicular lines must be m = -1. (Trust me on that one, or check your textbook.)

A new perpendicular line going through a point (x*,y*) will have the equation
y - y* = m (x - x*)
y - 2 = (-1/2)(x -(-6))
y - 2 = -x/2 - 3
y = -(x/2) -1
(y - )/(

Ignore the last line of my last answer. It's some leftover garbage I neglected to delete

1. 👍 0
2. 👎 0
3. 👁 172

Similar Questions

1. Math 10

1 more question.... how would I make this equation perpendicular? The question is.... The line Y=3x-1 and a line perpendicular to it intersect at R(1,2). Determine the equation of the perpendicular line. Can someone please tell me

asked by Karn on December 10, 2006
2. Math 116

1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an

asked by Keisha on July 13, 2011
3. Math 116

1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an

asked by Keisha on July 13, 2011
4. math2

I was solving a problem. In It r have been given that two lines are perpendicular to each other The equation of one line 2x-3y+4=0 Now i have to find the equation of another line We can find it by finding the slope of the

asked by A GOODSTUDENT on September 14, 2016
5. 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,

asked by Mishka on October 31, 2006
6. precalc

write a linear equation to fit each situation or description. 1) the line through (2,4) parallel to the x axis. 2) the line through (2,4) perpendicular to the x axis. 3) the line through (3,1) perpendicular to y=4x-3. 4) the line

asked by d on August 31, 2015
7. Geometry

Write an equation for the line perpendicular to line XY that contains point Z. line XY: 3x + 2y = -6, Z(3,2) I realize that the slope of a perpendicular line is the opposite reciprocal of the first line. But, how do I use point Z

asked by Heather on November 9, 2009
8. math,correction,&help

Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y = 6 Equation of perpendicular line is of the form 3x + 2y = K…It passes

asked by jasmine20 on January 16, 2007
9. Algebra II

Can you make sure my Algebra II work is correct? I've done the problems. I just want to make sure I am right. 1. Write an equation of the line with a slope of 5 and a y-intercept of -3. y=5x-3 2. Write the equation of a line that

asked by Andrea on October 4, 2012
10. Math

Write a linear equation in slope intercept form for each of the following: A line perpendicular to y=x+2 that passes through the origin. A line perpendicular to y = -1/2x + 5 that passes through the points (4,1) and (1,-5). A line

asked by Mikil on September 23, 2015

More Similar Questions