Question

Which is an equation of the line that passes through the point (1, 4) and has a slope of 3?

Answer 1

Y - 4 = 3(x -1)

y = 3x - 3 + 4

y = 3x +1  is the answer

Answer 2

So an equation of any line is y=mx+b.
We know that the m, or slope, equals 3.
y=3x+b
Now we find the b, or the y-intercept, by substituting the x and y values into their places.
4=3*1+b
4=3+b
b=1
Now that we have the y-intercept, we just substitute the m and b into the equation and receive our final answer:
y=3x+1