Homework Help

what is an equation for the line parallel to y=3x+4 that contains  (3,10)

user profile pic

connorcolin3 | Valedictorian

Posted December 17, 2011 at 5:58 AM via web

dislike 0 like

what is an equation for the line parallel to y=3x+4 that contains  (3,10)

Tagged with math

1 Answer | Add Yours

user profile pic

samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted December 17, 2011 at 11:59 AM (Answer #1)

dislike 0 like

The standard form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.  Parallel lines have the same slope, but different y-intercepts.

Since the original equation y=3x+4 has a slope of 3, use this as the slope for the new equation.

y=3x+b

Now substitute the point (3,10) in for x and y, and solve for b.

10=3*3+b

10=9+b

1=b

So the equation for the line parallel to y=3x+4 that contains (3,10) is y=3x+1.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes