SOLUTION: Hi, I'm having some trouble with parallel and perpendicular lines, can you help me? Find an equation of the line that satisfies the given conditions. through (8, 1); parallel t

Algebra.Com
Question 197343: Hi, I'm having some trouble with parallel and perpendicular lines, can you help me?
Find an equation of the line that satisfies the given conditions.
through (8, 1); parallel to the line passing through (9, -1) and (-4, -5)
thanks!
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Step 1: Use the two given points that define the given line and the two-point form of the equation of a line to derive the equation of the given line:



Step 2: Put your equation into slope-intercept form, that is, solve for y so that it looks like:

Then use the slope, m, of the given line that you can determine by inspection of the slope-intercept form of your equation and the fact that:



to determine the slope of the desired line.

Then use this new slope value, the given point, and the point-slope form of the equation of a line to derive the desired equation:



John
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find an equation of the line that satisfies the given conditions.
through (8, 1); parallel to the line passing through (9, -1) and (-4, -5)
--------------------------
1st: Find the slope
m = (-5--1)/(-4-9) = -4/-13 = 4/13
---------------------
Form: y = mx + b
You know y = 1 when x = 8, and m = 4/13; solve for "b":
1 = (4/13)8 + b
1 = 32/13 + b
b = (13/13)-(32/13)
b = -19/13
-------------------------------
Equation:
y = (4/13)x - (19/13)
==============================
Cheers,
Stan H.
RELATED QUESTIONS

Hi, I'm having some trouble with perpendicular lines, Can you help me? Find an... (answered by solver91311)
Hi! I'm having some trouble with the following problem. Can you help me? Find an... (answered by solver91311)
I'm having trouble with parallel and perpendicular lines that contribute with slope.... (answered by richwmiller)
Hi, Can someone help me with this problem, I have been out of school for 20 year and I (answered by Alan3354)
Hi, can you help me with this? i. Find an equation of the line that passes through the (answered by Maths68)
Hi I'm having some trouble with the following problem: Find an equation of the line... (answered by solver91311,scott8148)
I am having major problems with parallel and perpendicular lines. The question is - write (answered by Cromlix)
I have a list of questions that I am having trouble with. Please help, I have already... (answered by mananth)
I'm having some trouble figuring this question out. Consider the points (–5, –2) and... (answered by josgarithmetic)