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considering the equation -x -7y =14. I need to find a line parallel to this line that would have a slope of ??, and also find a line perpendicular to this line, would have a slope of ??

considering the equation -x -7y =14. I need to find a line parallel to this line that-example-1
User Lucacerone
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This equation is n the general form of the equation of a line, right? In order to rewrite it in the slope intercept form, we have to manipulate it. Let's go:


-x\text{ -7y = 14 is given. We want to rewrite it as y = mx +b, which is the slope intercept equation. So, -7y = x +14}

Multiplying both sides by (-1), we'll have 7y = -x - 14

Now we divide both sides by 7,

y = -1/7x - 2. So, m, the slope of this line is -1/7, ok?

Two parallel lines have the same slope, thus, the slope of a parallel line will also be -1/7.

Two perpendicular lines have reciprocal negative slopes, so -1/7 = +7.

User Sifoo
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