Perpendicular lines crossing at a 90 degree angle. Because that this to be true, one of two people one line is horizontal (e.g., y = 5) and also the various other is vertical (e.g., x = 4) or the slopes are an adverse reciprocals that each other (e.g., 3 and also -1/3).

You are watching: Difference between perpendicular and intersecting lines

y = 2x and y = 3x intersect at the origin. (In both cases, if x = 0, climate y = 0.) The slopes space not an adverse reciprocals, so these lines space not perpendicular.

The 2nd pair that equations can be rewritten in slope-intercept form as y = -6x + 16 and also y = 5x + 20. The slopes space not equal, so we understand the lines room not paralleland intersect somewhere. Ther slopes are not an unfavorable reciprocals, so we know they room not perpendicular. The solution is (-4/11, 200/11).

upvote • 0 Downvote
include comment
More
Report Tutor
4.9 (638)

Masters of education and learning Graduate with math Expertise

around this tutor›
around this tutor›

Intersecting lines re-superstructure a allude in common, referred to as their intersection point.

Perpendicular lines room intersecting lines that are at ideal angles come each-other.

For lines in the x-y plane, every vertical (x = constant) line is perpendicular to every horizontal (y = constant) line. For any type of pair of lines with non-zero slopes, say y=m1x+b1 andy=m2x+b2, the precise criterion is the m1m2 = -1 (slopes are an adverse reciprocals that each-other).

Here is the systems to the an initial system y = 2x, 6x + y = 16

You can substitute the very first equation into the 2nd as follows

6x + y = 16

6x + 2x = 16 Substitution.

8x = 16 combining the x-terms.

x = 16/8 = 2 department by 8 top top both sides.

y = 2x = 2*2 = 4 Substitution

So the lines room intersecting v the intersection suggest at (2,4).

Also since isolating y in the second equation provides y = -6x + 16 and -6*2 = -12≠ -1, they space not perpendicular.

Now watch if you can do this through your second system y = 3x, y – 5x = 20.

upvoted • 0 Downvote
More
Report

## Still trying to find help? obtain the right answer, fast.

obtain a totally free answer to a rapid problem. Most questions answered in ~ 4 hours.

OR
uncover an online Tutor currently

choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

### RELATED TOPICS

math Algebra 1 Algebra 2 Precalculus Algebra Word difficulty Maths Algebra aid College Algebra Math assist ... Math question Precalculus Homework Algebra Word problem Mathematics mathematics Answers math Word problem Math difficulty Math aid For university High school Math aid Math troubles

### RELATED QUESTIONS

how do you leveling this expression

i want to make 500 by using my calculator, but the 5 vital ,the + an essential and the - key are broken. How have the right to i usage my calculator to carry out this task.

If i have 3x- 3x execute i get x or does that cancel the end

what is the slope-intercept kind for (8,0),m = -3

ns need assist with

### RECOMMENDED TUTORS Beatrice N.

brand-new to aramuseum.org Ryan Maxwell W.

5.0 (205) 4.9 (579)
See more tutors

### uncover an online tutor

See more: What Deciduous Trees That Lose Their Leaves Seasonally, Do Elm Trees Lose Their Leaves In Winter

gain to understand us
find out with us
occupational with united state
Let’s keep in touch
Need much more help?

Learn much more about how it works   