SOLUTION: Another slope that I have trouble with. CAn anyone give me a hand? Thanks! Write the equation of the line that passes through (0,3) and is parallel to 3y = x +10. Thanks

Question 60982This question is from textbook college algebra
: Another slope that I have trouble with. CAn anyone give me a hand? Thanks!
Write the equation of the line that passes through (0,3) and is parallel to
3y = x +10.
Thanks again for your efforts! This question is from textbook college algebra

Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
The line has equation
You want to get the line into a form where x is the slope and b is the place on the y-axis where the line crosses the y-axis.
Divide both sides of the equation by 3 and you get

So, the slope of the line is .
Any line parallel to this line will also have a slope of .
So, we're looking for a line with equation and we need to figure out what b is.
We know that point (0,3) is on the parallel line so we know that when then . So, solve for b:
or .
So, the equation of the parallel line is .
RELATED QUESTIONS
Please help me write an equation in point-slope form of the line that passes through the... (answered by HasanSahin)

I am having trouble finding how to write the equation with certain given points.. Please (answered by bam878s,Earlsdon)

Write the equation of the line that passes through the given point and is parallel to the (answered by funmath)

Please help me with this problem! I have no clue how to do this. Write the... (answered by sudhanshu_kmr)

Tutor, Could you please tell me if I have this answer correct? Write the... (answered by stanbon)

A Truck that cost $27,600 when new will have no salvage value after 12 years. Find the... (answered by funmath,rcmcc)

How do I write the equations of the line, in slope-intercept form, A) which goes... (answered by checkley77)

Can anyone help me out with this one? P(-6,3), y + 3x = -12 Directions are to... (answered by Nate)

Can anyone help me solve this problem: determine the equation of the line that has a... (answered by venugopalramana)