are these 2 lines parallel, perpendicular, or oblique? . 17x + 19y = - 20 . and Y - 7 = -17/ 19 (x+9).?

Question

are these 2 lines parallel, perpendicular, or oblique? . 17x + 19y = - 20 . and Y - 7 = -17/ 19 (x+9).

Answer 1

17x + 19y = -20 and y - 7 = -17/19 (x + 9)



slope 1 = -17/19 , .. . .



19(y- 7) = -17(x + 9)

19y - 133 = -17x - 153

19y = -17x - 153 + 133

19y = -17x - 20

y = -17/19*x - 20/19

slope 2 = -17/19



hence, they are parallel . . .having the same slope

Answer 2

I would have to go with parallel, because the 2 lines are the same



17x+19y=-20 becomes:

19y=-17x-20 which becomes:

Y=(-17/19)X-(20/19)

The X portion can stay as a fraction, giving you the "rise-over-run" (or "slope")portion of the line, but the "20/19" part comes out to about 1.053, so the equation for the line becomes:



Y=(-17/19)X-1.053 <-This is your first line



Second line:

Y-7=-17/19 (X+9) becomes:

Y-7=(-17/19)X+(-17*9)/19) or:

Y-7=(-17/19)X-153/19

The "153/19" part of the equation comes out to 8.053, so the equation becomes:

Y-7=(-17/19)X-8.053

You then have to carry the 7 over to the other side of the "=" sign, to get the "Y" by itself, giving you:

Y=(-17/19)X-8.053+7 or Y=(-17/19)X-1.053



So, this is your second line-> Y=(-17/19)X-1.053

Which is exactly the same as the first line.

So if I had to choose one, I would go with parallel.



However, if it is referring to the angle of the line to the "X" axis (which I don't think it is, since it asks are the LINES themselves parallel, perpendicular, or oblique), then it would be an oblique angle. A line cannot be an angle. So, I would go with parallel.

Answer 3

Dear NS,



if I use a small y on the 2nd equation it is parallel!!!



17x+19y=-20_y-7=-(17)/(19)*(x+9)



Divide each term in the numerator by the denominator.

y=-(17x)/(19)-(20)/(19)_y-7=-(17)/(19)*(x+9)



Solve the first equation to setup the y=mx+b formula.

y=mx+b_y-7=-(17)/(19)*(x+9)



Using the y=mx+b formula, m=-(17)/(19) and b=-(20)/(19).

m1=-(17)/(19), b=-(20)/(19)_y-7=-(17)/(19)*(x+9)



Remove the parentheses around the expression -17x-20.

m1=-(17)/(19), b=-(20)/(19)_y=(-17x-20)/(19)



Divide each term in the numerator by the denominator.

m1=-(17)/(19), b=-(20)/(19)_y=-(17x)/(19)-(20)/(19)



Solve the second equation to setup the y=mx+b formula.

m1=-(17)/(19), b=-(20)/(19)_y=mx+b



Using the y=mx+b formula, m=-(17)/(19) and b=-(20)/(19).

m1=-(17)/(19), b=-(20)/(19)_m2=-(17)/(19), b=-(20)/(19)



Compare the slopes (m) of the two equations.

m1=-(17)/(19), m2=-(17)/(19)



The equations are parallel because the slopes of the two lines are equal.

The equations are parallel.

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