SOLUTION: Find an equation of the line that passes through ​(1​,2​) and that is parallel to y=3x+4. Give the answer in​ slope-intercept form.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find an equation of the line that passes through ​(1​,2​) and that is parallel to y=3x+4. Give the answer in​ slope-intercept form.      Log On


   

Question 1134565: Find an equation of the line that passes through ​(1​,2​) and that is parallel to y=3x+4.
Give the answer in​ slope-intercept form.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Find an equation of the line that passes through ​(1​,2​) and that is parallel to y=3x%2B4.
slope-intercept form: y=mx%2Bb where m is a slope and b is y-intercept
if given that line is parallel to y=3x%2B4, than m=3; parallel lines have same slope
so far, your equation is y=3x%2Bb
now use given point ​(1​,2​), plug in coordinates and calculate b

2=3%2A1%2Bb
2-3=b
b=-1
and your equation is:
highlight%28y=3x-1%29