Answer:
[tex]y -2x = -8[/tex]
Step-by-step explanation:
Given:
[tex]y = 2x -5[/tex]
Parallel lines have the same slopes in their equations. We can see the given equation of the line is written in Slope-Intercept Form with slope [tex]2[/tex]. So, let's just find the equation that has the same slope.
We can see that all of the linear equations given in the choices are written in Standard Form. This means that this makes it harder to know the slope. So, we have to write rewrite them in Slope-Intercept Form. However, the equation, [tex]y -2x = -8[/tex] is the one that has the same slope with the given linear equation. If in doubt you can rewrite the other equations in Slope-Intercept Form yourself or see the solution below.
[tex]y -2x = -8 \\ y -2x +2x = -8 +2x \\ y = 2x -8[/tex]
To know more about the slopes of the line, you can refer to my Answers from these Questions:
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