SOLUTION: write an equation of the line containing the given point and parallel to the given line.(6,-4); 6x-5y=4

Question 294629: write an equation of the line containing the given point and parallel to the given line.(6,-4); 6x-5y=4
Answer by TakeishaM(13) (Show Source): You can put this solution on YOUR website!
First you need to put your equation in slope intercept form which is y = mx + b
6x-5y=4 (subtract 6x from both sides)
-5y=4-6x (divide both sides by -5; so divide 4 by -5 and -6 by -5)
y=(-4/5)+1.2x
We know that parallel lines have the same slope so the slope of your new line will be 1.2x.
Now solve for b by using the point you were given in the problem (6,-4)
y=mx+b
-4=1.2(6)+b
-4=7.2+b (subtract 7.2 from both sides)
-11.2 = b
The answer is y=1.2x-11.2
RELATED QUESTIONS
Write an equation of the line containing the given point and parallel to the given line (answered by checkley77)

write an equation of the line containing the given point and parallel to the given line. (answered by Fombitz)

Write an equation of the line containing the given point and parallel to the given line. (answered by Alan3354)

Equation of the line containing the given point and perpendicular to the given line... (answered by MathLover1,MathTherapy)

Write an equation of the line containing the given point and parallel to the given line? (answered by Fombitz)

32. Write an equation of the line containing the given point and parallel to the given... (answered by jim_thompson5910)

How do you write an equation of the line containing the given point and parallel to the... (answered by stanbon)

How do you write an equation of the line containing the given point and parallel to the... (answered by ikleyn)

write an equation of the line containing the given point and parallel to the given line... (answered by nerdybill,Alan3354)