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
charle [14.2K]
2 years ago
15

Graph the line with a slope of 2/5 that goes through (3,1)

Mathematics
2 answers:
Triss [41]2 years ago
5 0

Answer:

y = \dfrac{2x}{5} - \dfrac{1}{5}

Step-by-step explanation:

Given:

\bullet \ \ \text{Slope of line:}\  \dfrac{2}{5} \\\\  \bullet \ \text{Passes through:} \ (3, 1)

To determine the equation of the line, we will use point slope form.

<u>Formula of point slope form:</u>

  • → y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

:\implies y - 1 = \dfrac{2}{5} (x - 3)

Simplify the R.H.S:

:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}

Add 1 both sides:

:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1

Simplify the equation:

:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}

:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}

<u>Graphing the line on a coordinate plane:</u>

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [\bold{\frac{-1}{5} }] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Alex73 [517]2 years ago
5 0

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

You might be interested in
Please help with these?
Reika [66]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
Maria has 37 pieces of fruit to make fruit baskets as gifts for her 5 teachers.
agasfer [191]

Answer: The answer would be C

Step-by-step explanation:

37 + 5 = 42

Each teacher needs 8 and there are 5 teachers

5 x 8 = 40

So each teacher can have 8 apples and there will be two left over

7 0
3 years ago
Write an equation in slope-intercept form for the line that goes through points (1.4,0) and (1.-2). y= x +
Scorpion4ik [409]

Answer:

x+[1+4+0]and {1×2}

Step-by-step explanation:

can you mark me brainlist

6 0
2 years ago
Marilyn's cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does
iren2701 [21]

Answer:

34

Step-by-step explanation:

52-35 = 17

$17 divided by $0.50 = 34 texst messages

7 0
2 years ago
One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for
ZanzabumX [31]

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

5x + 3y = 34

simplified to

x = 11/4 , y = 27/4

5 0
2 years ago
Other questions:
  • Nearest toot!
    8·1 answer
  • Tony had a certain number of stamps that were each worth $0.15. he misplaced 7 stamps. he found that the total value of his stam
    10·1 answer
  • 9.045 round to the nearest tenth
    11·1 answer
  • Can someone help and show the work? It’s do in a few minutes so respond ASAP!!
    13·2 answers
  • What is the point slope form for (-2,3);m=-1
    13·1 answer
  • Stan's savings account has a balance of $4706. after 4 years, what will the amount of interest be at 4% compounded quarterly?
    10·1 answer
  • I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing
    10·1 answer
  • If f(x) is an even function, which function must also be even?
    13·1 answer
  • 5. The zoo fed the large animals 680 pounds of food last week. Seven large animals each ate the same amount while the elephant a
    5·1 answer
  • Which is the value of this expression when a= -2 and b= -3?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!