SOLUTION: Hi i really need help with my homework. I dont know how to do this problem. "Through point (3,1) with the same slope as line 2x-3y=1"

Question 426456: Hi i really need help with my homework. I dont know how to do this problem.
"Through point (3,1) with the same slope as line 2x-3y=1"
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2x-3y=1
Find the slope of this line

-3y=-2x+1
Divide by -3
y=0.67x -0.33
Compare this equation with y=mx+b
slope m =0.67

The slope of a line parallel to the above line will be the same
The slope of the required line will be 0.67
m=0.67 ,point (3,1)
Find b by plugging the values of m & the point in
y=mx+b
1=2+b
b= -1
m= 0.67
Plug value of the slope and b
The required equation is y =0.67x-1

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First, get the equation into the form

In this form, = slope
given:

Subtract from both side

Divide both sides by

Any line parallel to this one will also have
So far you have
for the new line
It goes through (3,1), so I can plug this x and y into equation
to get

So, the equation is
answer
Check: Does it go through (3,1)?

OK
RELATED QUESTIONS
On my homework assignment, it says: "Write the point slope form of equations fro... (answered by psbhowmick,checkley71)
HI!! please help me with this Find the equation of a line with the slope of 2/3 that... (answered by MathLover1,jim_thompson5910)
hi i need help with the following problem: the cubed root of 2x+7=5 (the five is not... (answered by ewatrrr)
find the equation of the line with a slope of 4 and pases through the point(5,1) I dont... (answered by Mathematicians)
hi i really need help with negative exponents. i already did this problem but the answer (answered by ankor@dixie-net.com)
I really need some help here! Guys. Sorry to disturb you but please help me with my... (answered by ewatrrr)
I need help with this... Write the slope-intercept form of an equation of the line... (answered by 303795,checkley71)
I do not understand how to solve for m. I know that this should be y=mx+b but I cant... (answered by stanbon)
I Really Need Help! It's Friday and i have tons of homework! I need help with Find the... (answered by MathTherapy)