Question

Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

A y=-2x+7
B y=-2x+6
C y=-2x-2
D y=3x-8

Answer 1

`\huge{\boxed{\text{A.}\ y=-2x+7}}`

Point-slope form is
`y=mx+b`, where
`m` is the slope and
`b` is the y-intercept.

In the given line, the slope is
`-2`. Parallel lines share the same slope, so the answer must have a slope of
`-2` as well.

Point-slope form is
`y-y_1=m(x-x_1)`, where
`m` is the slope and
`(x_1, y_1)` is a known point on the line.

Substitute in the values, where
`m=-2` and
`(x_1, y_1)=(3, 1)`.
`y-1=-2(x-3)`

Distribute the
`-2` to the
`(x-3)`.
`y-1=-2x+6`

Add
`1` on each side.
`\boxed{y=-2x+7}`