algebra

posted by .

Is this pair of lines parallel, perpendicular, or neither?

2x+5y=7
5x-2y=8

  • algebra -

    the slope of the first is -2/5 and the slope of the second is 5/2

    notice their product is -1, so they are perpendicular.
    (slopes are negative reciprocals of each other)

    (to get the slope in my head I used the rule:
    for Ax + By = C, slope = -A/B )

  • algebra -

    Change into the standard equation for a straight line of y = mx + b
    2x+5y=7 and
    5y = -2x+7 then divide by 5 to obtain
    y=(-2/5)x + 7/5

    Second equation is
    5x-2y=8
    -2y=-5x+8
    multiply by -1
    2y=5x-8
    y=(5/2)x-4

    Lines are parallel if the slopes are equal. Lines are perpendicular if the slopes are the negative reciprocal of each other.
    -

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Plz Check My Geometry

    Out of 30 questions these few I struggled with. I put what I feel was right but to be sure I would like some one to check my answers and if there wrong redirect me on how to get the correct answer.( after the = is the answer i think …
  2. Plz Check My Geometry

    Out of 30 questions these few I struggled with. I put what I feel was right but to be sure I would like some one to check my answers and if there wrong redirect me on how to get the correct answer.( after the = is the answer i think …
  3. Plz Check my Geometry(sOo0n)

    1.) Given points A(-4, 5), B(2, 3), C(0, 4) and D(5, 0), decide if AB and CD are parallel, perpendicular or neither. =Neither 2.)Given the equations y = 1x + 7 and y = 3x - 2, decide whether the lines are parallel, perpendicular or …
  4. geometry

    Martin drew a pair of perpendicular lines and a pair of parallel lines. Which of these statements best compares the pairs of perpendicular and parallel lines?
  5. math help please

    Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. x + 5y = –20 y = –7/8x – 1 and 32x – 28y = –36 parallel perpendicular neither I think its neither?
  6. math help please

    Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –x + 10 and –2x + 8y = 6 parallel perpendicular neither I think its neither again
  7. math help please

    Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –1/4x + 10 –2x + 8y = 6 parallel perpendicular neither I think its neither ?
  8. math help please

    Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. x + 5y = –20 y = –7/8x – 1 32x – 28y = –36 parallel perpendicular neither I think it's perpendicular - asked this question earlier …
  9. Algebra

    Correct me if I'm wrong please 1. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –2x + 4 –5x + 10y = 5 (1 point) A.parallel B.perpendicular * C.neither 2. Tell whether the lines for …
  10. algebra 1

    Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y=-4x+3 and -2x+8y=5 A. parallel B. perpendicular C. neither I think parallel?

More Similar Questions