SOLUTION: passes through (1,4) and is parallel to a line whose equation is y=3x+5? my start: 4=3x+5 4=3(1)+5 -3+4=-3+3+5 1=x+5 ?????

Algebra ->  Linear-equations -> SOLUTION: passes through (1,4) and is parallel to a line whose equation is y=3x+5? my start: 4=3x+5 4=3(1)+5 -3+4=-3+3+5 1=x+5 ?????       Log On


   

Question 76624: passes through (1,4) and is parallel to a line whose equation is y=3x+5?
my start: 4=3x+5
4=3(1)+5
-3+4=-3+3+5
1=x+5 ?????
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you've got the right idea, but a parallel line will have a different y-intercept (the constant term on the x side of the equation)

general form is y=mx+b...m is slope (same for parallel lines)...b is y-intercept (where line crosses y-axis)

your start has the slope the same but also the intercept... try 4=3x+b...then 4=3(1)+b...so b=1

y=3x+1...new line is parallel to old line and crosses y-axis 4 units lower