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:
[tex]y = -2x -1[/tex]
Step-by-step 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: [tex]y = mx + b[/tex]
The slope is m
By comparison:
[tex]m = -2[/tex]
So, the slope of the extorted is -2.
The equation is then calculated using:
[tex]y = m(x - x_1)+ y_1[/tex]
[tex]y = -2(x - 0)-1[/tex]
[tex]y = -2(x )-1[/tex]
[tex]y = -2x -1[/tex]