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Which equation represents a line which is parallel to the line 7y - 4x = –49a) y=7/4x+3b) y=-7/4x+1c) y=4/7x+7d) y= -4/7x+4

Respuesta :

Let us first convert the equation given to the slope-intercept form:

[tex]7y-4x=-49[/tex]

adding 4x to both sides gives

[tex]7y=4x-49[/tex]

dividing both sides by 7 gives

[tex]y=\frac{4x-49}{7}[/tex][tex]y=\frac{4x}{7}-7[/tex]

Now, we need to look at the choices and see which of the answer choices has a slope of 4/7.

Looking at the choices we see that choice C has the matching slope; therefore, it is the correct answer choice.

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