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

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### 1 Answer

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**.