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
vredina [299]
2 years ago
10

What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)

Mathematics
1 answer:
Nikolay [14]2 years ago
5 0

Answer:

y= ⅔x -2

Step-by-step explanation:

<u>slope-intercept </u><u>form</u>

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

Slope

=  \frac{2 - ( - 4)}{6 - ( - 3)}

=  \frac{2 + 4}{6 + 3}

=  \frac{6}{9}

=  \frac{2}{3}

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

2 =  \frac{2}{3} (6) + b

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

You might be interested in
405,000,000−1.7×10^8
zhenek [66]

Answer: 235,000,000

Step-by-step explanation:

7 0
3 years ago
A bank paid 2.3% interest on a money market account. What is 2.3% written as a decimal
DochEvi [55]
1\%\ \ \rightarrow\ \  \frac{1}{100}=0.01 \\\\2.3\%\ \ \rightarrow\ \ x\\\\x= \frac{2.3\%\cdot0.01}{1\%} \ \ \ \Rightarrow\ \ \ x=0.023
7 0
3 years ago
Read 2 more answers
the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on
lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = M

Let weight on Earth be = E

Its known that:

M ∝ E

Thus

M=kE

where k is constant of proportionality.

when  E=95\ lb, then M=38\ lb

thus, we have

38=k(95)

dividing both sides by 95.

\frac{38}{95}=\frac{k(95)}{95}

∴ k=\frac{38}{95}

Thus when E= 100, M would be calculated as

M=\frac{38}{95}\times 100

M=\frac{3800}{95}

∴ M=40\ lb  (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0
3 years ago
Slope of the points (11,-20) and (3,-20)
Fed [463]

Answer:

the slope is 0.

7 0
3 years ago
Read 2 more answers
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red
UNO [17]
I think it would be A pls mark brainliest
5 0
3 years ago
Other questions:
  • Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels?
    15·2 answers
  • Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers
    7·1 answer
  • What is the mean 52, 84, 26, 61, 73
    9·1 answer
  • Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
    12·1 answer
  • Round 3.223 to the nearest hundredth.​
    10·1 answer
  • What is the common difference of the following sequence: -6, -2, 2, 6
    11·1 answer
  • Please help need answers ASAP
    9·1 answer
  • Does the graph represent a function? Why or why not?
    7·2 answers
  • Maya has 120 caramel apples to sell. each caramel apple is covered with one topping
    8·1 answer
  • MARKING BRAINLIEST Simplify into one fraction
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!