Question

Line l passes through point (0, -1) and is parallel to the line whose equation is y = -2x + 7. Which equation best describes the graph of line l? a) y = -2x + 6, b) y = 2x + 6, c) y = 1/2x - 1, d) y = -2x - 1

Answer 1

`y = -2x -1`

Explanation:

Given

Passes through: (0, -1)

Parallel to: y = -2x + 7

Required

Determine the line equation

If the line is parallel to y = -2x + 7, then it has the same slope as y = -2x + 7.

For an equation of form:
`y = mx + b`

The slope is m

By comparison:

`m = -2`

So, the slope of the extorted is -2.

The equation is then calculated using:

`y = m(x - x_1)+ y_1`

`y = -2(x - 0)-1`

`y = -2(x )-1`

`y = -2x -1`