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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

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 12x class=

Respuesta :

MrRoyal

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]

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