Which equation represents a line which is parallel to the line 8x – 7y = 35?A) y=8/7x+8B) y= -8/7x-6C) y= -7/8x+5D) y= 7/8x+2

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27-10-2022
Mathematics

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Which equation represents a line which is parallel to the line 8x – 7y = 35?A) y=8/7x+8B) y= -8/7x-6C) y= -7/8x+5D) y= 7/8x+2

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AdrienC510003 AdrienC510003 · Answer 1 · 2022-10-27T23:20:44+02:00

The easiest way to solve this is to write the line in slope-intercept form.

The slope intercept is of the form:

[tex]y=ax+b[/tex]

Where a is the slope of the line, any lines that ahve the same slope are parallel.

Then, we solve for y the equation of the line given:

[tex]\begin{gathered} 8x-7y=35 \\ 7y=8x-35 \\ y=\frac{8}{7}x-5 \end{gathered}[/tex]

The slope of the line in the problem is 8/7. Then if we look at the options, the only one that has a slope of 8/7 is option B, which is the correct answer.