Question

Which equation represents a line which is parallel to the line 7x + 5y = –35?Submit AnswerA) y= -7/5x+4B) y= 7/5 x-2C) y= -5/7x+6D) y=5/7x-5

Answer 1

Paralle lines have the same slope, that is the relation between the increases in y and the increases in x.

So, first we write the line in slope-intercept form:

$\begin{gathered} 7x+5y=-35 \\ 5y=-7x-35 \\ y=-\frac{7}{5}x-7 \end{gathered}$

The line that is parallel is the one that has the same slope (m=-7/5).

The line that satisfies that is Option A: y=-7/5*x+4.