Question

What is an equation of the line that is parallel to y=9−4x and passes through (0, 7) ? Enter your equation in the box.

Answer 1

`\large\boxed{y = -4x + 7}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

Parallel lines have the same slope. Therefore if given line is

`y=9-4x=-4x+9`

then the slope of our line is
`m=-4`.

We have the equation:

`y=-4x+b`

The line passes through (0, 7) → b = 7.

Finally:

`y=-4x+7`