tommyaberman
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The equation of line EF is y = 1 over 2 x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).

y = −2x − 2
y = negative 1 over 2 x + 2

y = 1 over 2 x − 2
y = − 2x + 2

Respuesta :

akposevictor

The slope-intercept equation of the parallel line is: C. y = 1/2x - 2.

What is the Equations of Parallel Lines?

The lines that are parallel to each other have the same slope value.

Given, y = 1/2x + 6, the slope is 1/2. This means that the line that is parallel to it will also have a slope, m = 1/2.

Substitute m = 1/2, and (x, y) = (0, -2) into y = mx + b to find b:

-2 = 1/2(0) + b

-2 = 0 + b

b = -2

Substitute b = -2 and m = 1/2 into y = mx + b

y = 1/2x - 2

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