SOLUTION: what equation is parallel to y=1/2x-5 that goes through the points (6,-8) Please Help.

Algebra.Com
Question 559784: what equation is parallel to y=1/2x-5 that goes through the points (6,-8)
Please Help.
Found 2 solutions by mananth, scott8148:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
y = 0.5x-5

Compare this equation with y=mx+b
slope m = 1/ 2
The slope of a line parallel to the above line will be the same
The slope of the required line will be 1/ 2
m= 1/ 2 ,point (6,-8)
Find b by plugging the values of m & the point in
y=mx+b
-8 = 3 + b
b= -11
m= 1/2
Plug value of the slope and b in y = mx +b
The required equation isy = 1/2 x -11

m.ananth@hotmail.ca

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
parallel means that the slope (1/2) is the same ___ what changes is the y-intercept (-5)

to find the new intercept, just plug in the new given point

y = 1/2 x + b ___ (-8) = 1/2 (6) + b ___ -11 = b

the new equation is ___ y = 1/2 x - 11
RELATED QUESTIONS

how do i write an equation that is parallel to y=-1/2x+4 that goes through these points... (answered by TutorDelphia,mananth)
The equation of the line that goes through the point ( 2, 5 ) is parallel to the line... (answered by jojo14344)
what is the equation 6x-y=1 and goes through the points (-5,-5) and is a parallel line? (answered by stanbon)
I am having a dog of a time trying to solve these problems, please help me. Write the... (answered by scott8148)
Whats the equation of a line that is parallel to the equation y=1/2x-8 and goes through... (answered by mananth)
What is the equation of a line that is parallel to the line that goes through the points... (answered by Alan3354,josmiceli)
What is the equation of the line passing through points (1,-5) and parallel to... (answered by mananth)
What is the equation in slope-intercept form of the line that passes through the point... (answered by Theo)
Find the equation of a line that is parallel to 2x + 6y = 5 and that goes through the... (answered by TimothyLamb)