# How do you write an equation in slope-intercept form of the line that passes through (1,4); parallel to y=7x-3?

Oct 3, 2015

I found: $y = 7 x - 3$

#### Explanation:

You can find the equation using the general relationship for the equation of a line:
$y - {y}_{0} = m \left(x - {x}_{0}\right)$
where:
$m =$slope
${x}_{0} , {y}_{0}$ are the coordinates of your point.
To be parallel the two line must share the same slope $m$. Your line has slope $m = 7$ (the coefficient of $x$) and you can use your coordinates to get:
$y - 4 = 7 \left(x - 1\right)$
$y = 4 + 7 x - 7$
$y = 7 x - 3$