# What is the y intercept for a line with point (1,4) slope: 3?

Sep 27, 2015

I found: $\left(0 , 1\right)$.

#### Explanation:

We can find the equation of your line using:
$y - {y}_{0} = m \left(x - {x}_{0}\right)$ where we use the coordinates of your point and the slope $m$ as:
$y - 4 = 3 \left(x - 1\right)$
$y = 4 + 3 x - 3$
$y = 3 x + 1$
set $x = 0$ in it, then you have: $y = 1$
So, y-interept will be at $\left(0 , 1\right)$.