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.Com
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)   (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

RELATED QUESTIONS

What is the equation of the line that passes through the point (6, -5) and is parallel to (answered by mananth)
what is an equation of the line whose slope is 3 and which passes through the point... (answered by rfer)
1. What is the equation of a line that passes through points (-1, 2) and (5, 2)? y - 2... (answered by ewatrrr,MathLover1)
1) What is the equation of the line whose y-intercept is 3 and slope is 1? y = x - 3 y... (answered by ewatrrr)
how would i make graphs for each answer? 1. Write the equation of the line parallel... (answered by Alan3354)
Write the slope-intercept form of the equation with the given characteristics. 1.... (answered by josgarithmetic)
Which equation represent a line that is parallel to the line whose equation is 3x+2y=7?... (answered by Alan3354)
what isthe equation of the vertical line that passes through the point (-2, -1).... (answered by ewatrrr)
1. What is the graph of a line that passes through (3,3), perpendicular to graph... (answered by drj)