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
Ghella [55]
2 years ago
6

Given a line passes through point (5,8) and the origin, find the equation of the line. y=

Mathematics
2 answers:
SOVA2 [1]2 years ago
6 0

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

SVEN [57.7K]2 years ago
6 0

Answer:

y=8/5x

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept

first, let's find m (slope)

The formula for the slope calculated from two points is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2}, y_{2}) are points

we have two points, but let's label their values to avoid any confusion

x_{1}=5

y_{1}=8

x_{2}=0

y_{2}=0

now substitute into the formula

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{0-8}{0-5}

multiply

m=\frac{-8}{-5}

divide

m=8/5

The slope of the line is 8/5

here's the equation so far

y=8/5x+b

now we need to find b

as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b

let's take (0,0) as an example

substitute 0 as x and 0 as y

0=8/5(0)+b

multiply

0=0+b

add

0=b

substitute 0 as b into the equation

Therefore the equation of the line is:

<u>y=8/5x </u> (the 0 is not necessary)

Hope this helps! :)

You might be interested in
Find the constant of variation k for the direct variation ​
Alla [95]

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • The constant of variation k = \frac{y}{x}

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points <em>[except point (0, 0)]</em> to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = \frac{y}{x}

→ Substitute the values of x and y in the relation above

∴ k = \frac{2}{-1}

∴ k = -2

The constant of variation is k = -2

7 0
3 years ago
Which two ordered pairs represent a proportional relationship?
Temka [501]

Step-by-step explanation:

JOIN MY MEETING

ID-9384026088

PASSWORD 1234

8 0
3 years ago
Consider the system of equations.
Paladinen [302]

Step-by-step explanation:

4x-9y=-9 1

2x +3y=3 2

1 - 2(2)

4x -9y=-9

(2)* -4x -6y=6

________

0-15y=-3

15y=3

y=3/15

y=1/5

6 0
2 years ago
Read 2 more answers
I hate people who answer questions like this:
fiasKO [112]

Answer:

Oh wow

Step-by-step explanation:

Nice opinion xD

6 0
3 years ago
Franky's age is 5 years less that 1/2 his mothers age. If Franky is 13 years old,write an equation to determine his mothers age
Alik [6]

Answer:

1/2x-5=13

Step-by-step explanation:

Let x= Frankie’s mother’s age

Half his mother’s age= 1/2x

5 less than that=1/2x-5

We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.

Hope this helps.

4 0
3 years ago
Other questions:
  • A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?
    9·2 answers
  • It was -6 degrees outside. Then the temperature dropped another 3 degrees below zero. Now, what is the temperature?
    13·2 answers
  • The Perez family is driving to visit relatives the trip is 184 miles and they have driven 48 miles how many more miles do they n
    12·1 answer
  • Suppose that we examine the relationship between high school GPA and college GPA. We collect data from students at a local colle
    13·1 answer
  • a city has a population of 45,000. Its decreasing by 2% per year. what will population be after 15 years
    13·1 answer
  • Vera Newell gets a Social Security benefit of $350 per month. Her husband receives a benefit equal to 200 percent of Vera's bene
    5·2 answers
  • Hanif says that 2 ( 4s) + 4(3r) is also equivalent to the perimeter of the figure. Is Hanif correct? Justify your answer by subs
    5·1 answer
  • Please help will mark Branliest!! You have 6 red marbles, 4 blue marbles, and 2 white marbles. What is the probability you rando
    10·1 answer
  • 5. The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of
    15·1 answer
  • 76. 30 students at a sports event are
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!