1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natasha_Volkova [10]
3 years ago
11

Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicul

ar, or neither.
L1: (1, 10) and (-1, 7)
L2: (0, 3) and (1, 5 )
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

The lines L1 and L2 neither parallel nor perpendicular

Step-by-step explanation:

* Lets revise how to find a slope of a line

- If a line passes through points (x1 , y1) and (x2 , y2), then the slope

 of the line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- Parallel lines have same slopes

- Perpendicular lines have additive, multiplicative slopes

 ( the product of their slopes is -1)

* Lets solve the problem

∵ L1 passes through the point (1 , 10) and (-1 , 7)

- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)

∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7

∴ The slope of L1 is m1 = \frac{7-10}{-1-1}=\frac{-3}{-2}=\frac{3}{2}

∵ L2 passes through the point (0 , 3) and (1 , 5)

- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)

∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5

∴ The slope of L2 is m2=\frac{5-3}{1-0}=\frac{2}{1}=2

∵ m1 = 3/2 and m2 = 2

- The two lines have different slopes and their product not equal -1

∴ The lines L1 and L2 neither parallel nor perpendicular

You might be interested in
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30
anastassius [24]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

3x-5y=-30

Move the -3x to the right side

-5y=-3x-30

Divide both sides by -5

y=\dfrac{3}{5}x+6

This should be your answer, let me know if you need any clarifications, thanks!

5 0
3 years ago
Read 2 more answers
Find X (Its a circle question, PLEASE HELP) ​
mario62 [17]

Step-by-step explanation:

Since angles in the same segment are equal, Angle ABC (x) = Angle AOC.

Since Angles AOC and COD are supplementary, Angle AOC = 180° - 130° = 50°

Therefore x = 50°.

7 0
3 years ago
It take 33.5 Second to jail at practice it takes 28.2 seconds to run Edjil at practice how much time does it take him to complet
Schach [20]
61.7 seconds?? Please make it more clear, and there may be some missing information
3 0
3 years ago
Ryan runs 8 miles in 75 minutes. How many minutes does he run per mile?
victus00 [196]
First you would set up the problem as a division problem


75 \div 8

and you would get the answer of


9 minutes and 37 seconds.
8 0
3 years ago
I need help with finding the value of x
Lelu [443]

Answer:

x= 10

Step-by-step explanation:

(8x+5)+(3x+25)+(4x)=180

15x+30=180

15x=150

x=10

<h2><em><u>xoxo, </u></em></h2><h2><em><u>your highness...</u></em></h2>
8 0
3 years ago
Other questions:
  • HELPPPPPPPPP please fast
    12·2 answers
  • Find an equation of the line that passes through the points (-5, -3) and (3, 1)
    14·2 answers
  • Original price:$89.00;markdown:33%
    13·1 answer
  • Please answer this what is the answer to this question now
    13·1 answer
  • Is the perimeter of an equilateral triangle proportional to the side length of the triangle?Explain your reasoning.
    6·1 answer
  • 1
    13·1 answer
  • What is the solution of y= 4x + 6 when y= 18?
    12·2 answers
  • What is the mass of 8.65x 10^23 molecules of N2Cl4?
    10·1 answer
  • NEED HELP ASAP!!!! <br> A) 12 sq. cm.<br> B) 6 sq. cm.<br> C) 12 cm<br> D) 6 cm
    5·2 answers
  • Which expression is equivalent to x² + 2x + 2?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!