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

1 Answer | Add Yours

samhouston's profile pic

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

Posted on

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.

We’ve answered 315,764 questions. We can answer yours, too.

Ask a question