Question

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

Answer 1

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

The slope intercept is of the form:

`y=ax+b`

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:

`\begin{gathered} 8x-7y=35 \\ 7y=8x-35 \\ y=(8)/(7)x-5 \end{gathered}`

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.