# algebra

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

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

1. 👍
2. 👎
3. 👁
1. 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 )

1. 👍
2. 👎
2. 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.
-

1. 👍
2. 👎

## Similar Questions

1. ### Algebra 1

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Y=-4/5x+3 4x-5y=-15 (1 point) Parallel Perpendicular*** Neither Write an equation of a line that is perpendicular to the given line and that

2. ### math

What will the graph look like for a system of equations that has no solutions? A. The lines will be perpendicular. B. The lines cross at one point. C. Both equations will form the same line. D. The lines will be parallel. Is the

3. ### Geometry

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can

4. ### Geometry

Examine the two distinct lines defined by the following two equations in slope-intercept form. line ℓ: y=34x+6 line k: y=34x−7 Are lines ℓ and k parallel? Justify your response. 1.Yes, lines ℓ and k are parallel because

1. ### Algebra

Tell whether the lines for each pair of equations are parallel perpendicular or neither. Y= -2x + 4 -5+10y=5 I think perpendicular Next question is same kind- Y=-1/4x+10 -2x+8y=6 I think it's neither

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?

3. ### Algebra 1

Tell whether the lines for then pair of equations are parallel, perpendicular, or neither? y=-2/3x +1 2x-3y=-3

4. ### Algebra 1 Answer Check (Reiny or Kuai)

Are my answers correct? Identify which lines are parallel. 1. y = 6; y = 6x + 5; y = 6x - 7; y = -8 A: y = 6; y = -8; y = 6x +5; y = 6x - 7 (all) 2. y = 3/4x - 1; y = -2x; y - 3 = 3/4(x - 5); y - 4 = -2(x + 2) A: y = 3/4x - 1; y-

1. ### math

Find the slope of the lines that are (a) parallel lines (b) perpendicular lines to the lines passing through the pair of points (3, 4)(2,-1)

2. ### Algebra

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –3/4x+2 3x-4y=-8 A.parallel B.perpendicular ( my answer) C.neither

3. ### Math

Decide if the lines in each pair are parallel, perpendicular, or neither, and justify your answers. The slopes of the lines are given. a) m=3/4 and m=12/16 b) m=10 and m = -0.1

4. ### geometry

Lines n and p are parallel. Lines s and r are perpendicular. Find the measure of angle 1.