Question

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

Answer 1

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

Explanation:

The `x`-intercept means `y=0and x=4`
Use the equation:
`0=-3*4+b`
Add `3*4=12` to both sides:
`12=cancel12-cancel12=b->b=12`

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