# How do you find the equation of the line parallel to y=-5x+3 and passing through (4,3)?

Mar 24, 2018

The equation is $y = - 5 x + 23$

#### Explanation:

Parallel lines always have the same slope

The line parallel to $y = - 5 x + 3$ has a slope of -5, same as that line.

So far, the equation is $y = - 5 x + b$

Let's plug in (4, 3) to find the y-intercept (b)

$3 = - 5 \cdot 4 + b$

$3 = - 20 + b$

$b = 23$

The equation is $y = - 5 x + 23$