SOLUTION: Write in slope intercept form 1. Parallel to 2x+3y=-7 and containing the point (6,-1) 2. Perpendicular to x-2y=4 and containing the point (2,-5)

Algebra ->  Linear-equations -> SOLUTION: Write in slope intercept form 1. Parallel to 2x+3y=-7 and containing the point (6,-1) 2. Perpendicular to x-2y=4 and containing the point (2,-5)       Log On


   

Question 985503: Write in slope intercept form
1. Parallel to 2x+3y=-7 and containing the point (6,-1)
2. Perpendicular to x-2y=4 and containing the point (2,-5)
Found 2 solutions by macston, solver91311:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
1. Parallel to 2x+3y=-7 and containing the point (6,-1)
2x+3y=-7
3y=-2x-7
y=-(2/3)x-(7/3) Slope of parallel line:m=-(2/3)
y=-(2/3)x+b Plug in values.
-1=-(2/3)6+b
-1=-4+b
3=b
.
Equation in slope-intercept form:
y=mx+b
y=-(2/3)x+3
.
2. Perpendicular to x-2y=4 and containing the point (2,-5)
Slope of perpendicular=negative reciprocal: m=(3/2)
y=(3/2)x+b Plug in values from point.
-5=(3/2)2+b
-5=3+b
-8=b
.
Equation in slope-intercept form:
y=mx+b
y=(3/2)x-8

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The slope of is

Determine the slope of the desired line from:





Derive the desired equation using the point-slope form:



where are the coordinates of the given point and is the calculated slope.

John

My calculator said it, I believe it, that settles it