What is the equation of the line that contains the point (2,5) and is parallel to the line y=3x+2?

Question

I really need help

Answer 1

the question includes part of the answer already. we need the the formula to be in y=m*x+b format in order to find the right slope to make it parrallel. From the question we can see that the solution has to have m=3 in order for our answer to be parallel. 

 

Now all that's left is to find B

 

lets put our point (2,5) into our formula with m=3. 

 

Y=m*x+b

 

5=3*2+b

order of operations. Multiply and divide

 

5=6 + b

 

combine like terms

 

5-6 = 6 - 6 + b

 

-1 = b

 

A parallel line to y=3x + 2 that goes through point (2,5) is

y=3x - 1

Answer 2

If the lines are parallel, the slopes are the same so we know m=3 for the new line as well. 

Then we can substitute the point we know to find b (the y-intercept):

y=3x+b

5=3(2)+b

5=6+b

b=-1

 

Therefore, the equation of the line is: y=3x-1