# How do you write an equation of a line parallel to y=-3x+4 and x intercept at 4?

Nov 11, 2016

A parallel has the same slope, so the form is $y = - 3 x + b$

#### Explanation:

The $x$-intercept means $y = 0 \mathmr{and} x = 4$
Use the equation:
$0 = - 3 \cdot 4 + b$
Add $3 \cdot 4 = 12$ to both sides:
$12 = \cancel{12} - \cancel{12} = b \to b = 12$

Equation: $y = - 3 x + 12$
graph{-3x+12 [-11.98, 16.5, -6.78, 7.46]}