SOLUTION: Given an equation of a line, find parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your eq

Algebra ->  Linear-equations -> SOLUTION: Given an equation of a line, find parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your eq      Log On


   

Question 746778: Given an equation of a line, find parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form. y = x + 4 ; ( - 7 , 1 )
I am totally dumb founded on how to even start this. Thank you.
MC
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Which are you looking for ?

The line parallel to the given one has slope m=1. The line perpendicular to the given line has slope -1. Take the one you need and begin forming your equation to find. Plug in the coordinates to find the y intercept according to y=mx+b, looking for b. b=y-mx.

For the line to be parallel, you'll start with y=x%2Bb and you would plug in x=-7 and y=1, and solve for b.

For the line to be perpendicular, you'll start with y=-x%2Bb, and plug in the given needed point and solve for b.

Basic Instructional Note: m%5B1%5D%2Am%5B2%5D=-1 if m%5B1%5D and m%5B2%5D are slopes of perpendicular lines. If two lines, line 1 and line 2, are parallel, then m%5B1%5D=m%5B2%5D.