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
Mila [183]
2 years ago
14

A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?

Mathematics
1 answer:
navik [9.2K]2 years ago
5 0

Answer:

The point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (-6, -3)
  • The slope m = 2/3

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

  • m = 2/3
  • (x₁, y₁) = (-6, -3)

substituting the values m = 2/3 and the point (-6, -3)  in the point-slope form

y-y_1=m\left(x-x_1\right)

y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)

y+3=\frac{2}{3}\left(x+6\right)

Subtract 3 from both sides

y+3-3=\frac{2}{3}\left(x+6\right)-3

y=\frac{2}{3}x+4-3

y=\frac{2}{3}x+1

comparing with the slope-intercept form y=mx+b

Here the slope = m = 2/3

Y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Given the line

y=\frac{2}{3}x+1

at x = 0, y = 1

Thus, the point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

You might be interested in
the ratios of girls to boys in a student basketball league is 5:6. juan says that there must be exactly 11 students in the leagu
Alex787 [66]

Answer:

False

Step-by-step explanation:

girls : boys : total

5       : 6      :11

Multiply each term by 2

10:      12     :22

Ratio of girls to boys

10:12

Divide by 2

5:6

The ratio of girls to boys is still 5:6  but the total students is 22

8 0
3 years ago
Read 2 more answers
What is equivalent to (x+8)(x+4)?<br>1.x^2+12x32<br>2.2x^2+10x+12<br>3.2x^2+12x+16<br>​
Elza [17]

Answer:

1. x^2+12x+32

Step-by-step explanation:

(x+8)(x+4)

x(x+4)+8(x+4)

x^2+4x+8x+32

x^2+12x+32

3 0
2 years ago
Read 2 more answers
I need help with # 14 and 15 ASAP... It is due tomorrow ..can some one please help me with it
Angelina_Jolie [31]

Answer:

See explanation

Step-by-step explanation:

A. Gasoline fill-up fee = $4.50

Cost per hour = $40

Average cost = C

Number of hours the scootcar is rented = h

Cost per h hours = $40h

Total cost = $40h + $4.50

Hence,

C = 40h+4.5

B. To plot the graph of the function, find h- and C- intercepts.

When h = 0, then C = 4.5, and we have point (0,4.5)

When C = 0, then 0 = 40h + 4.5, h = -45/400 = -0.1125, and we have point (-0.1125,0)

Plot these two points and connect them with a straight line.

Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative

8 0
3 years ago
X divided by -7 is less than or equal too 8
mestny [16]
X/-7 ≤ 8 ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀
5 0
3 years ago
A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?
KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
2 years ago
Other questions:
  • OMGGGG PLZZZZZ HELP!!!!!URGENT DUE TODAY OR IM DEAD!!
    8·1 answer
  • Which product will be negative?
    15·2 answers
  • Can someone help me please and thank you
    8·1 answer
  • -Anyone wanna help a sister out??-
    10·2 answers
  • Please help me anybody
    12·2 answers
  • What is the equation of a line with a slope of -4 and a point (-2, 5) on the line?
    12·1 answer
  • 10 points!! help me answer both of them pleaaase!!;-;
    8·1 answer
  • Answer please please ​
    11·1 answer
  • When converted to speeds, which list is in order from slowest to fastest?
    13·1 answer
  • Bettie’s Boutique is having a $$ off sale.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!