SOLUTION: Given 2x-6y=12 Transform the equation into slope intercept form and find the slope and y -intercept of the line and find the equation in slope intercept form of the line that is p

Algebra.Com
Question 933669: Given 2x-6y=12
Transform the equation into slope intercept form and find the slope and y -intercept of the line and find the equation in slope intercept form of the line that is perpendicular to this line and passes through the point (-1,2). Show your work

Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is
where m is the slope and b the y-intercept.
.........
2x-6y=12
y = (1/3)x - 2 , m = (1/3) (Green)
......
Line Perpendicular: m = -3/1 (negative reciprocal)
***Using point-slope form, P(-1,2)
y - 2 = -3(x+1)
y = -3x -1 (Blue)


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given 2x-6y=12
Transform the equation into slope intercept form and find the slope and y -intercept of the line.
6y = 2x-12
y = (1/3)x - 2
---
slope = (1/3) ; y-intercept = -2
----------------------------------------
and find the equation in slope intercept form of the line that is perpendicular to this line and passes through the point (-1,2).
slope = -3
Form:: y = mx + b
Solve for "b"::
2 = -3*-1 + b
b = -1
---
Equation:
y = -3x -1
--------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS

Using the point-slope form of a line,y-4=-2(x+3)identify the slope. Transform this given (answered by rfer,josmiceli)
Write the equation 5x-6y-12=0 in the slope intercept form and then find the slope and... (answered by MathLover1)
Write the equation 5x-6y-12=0 in the slope intercept form and then find the slope and... (answered by MathLover1)
2. Use the equation 4x - 2y = 8 (a) Transform the equation into slope-intercept form.... (answered by josgarithmetic)
Find the x- and y-intercept and write the equation of the line 2x+3y=-18 in slope... (answered by mananth)
Transform the equation 6x+2y-10=0 to slope intercept form . Identify the slope and... (answered by Cromlix)
Write the equation in the slope-intercept form and then find the slope m and y-intercept... (answered by Alan3354,drj)
Find the equation of the line with the given slope and y intercept. Leave your answer in... (answered by mananth)
Please Find the slope and y-intercept of the line with the given equation. 6x-2y=24 (answered by stanbon)