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anyanavicka [17]
2 years ago
9

What is the equation of the line that has a slope of -3 and passes through the point (4,-2)

Mathematics
1 answer:
sukhopar [10]2 years ago
3 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))


You know m = -3, so you can plug it into the equation

y = mx + b

y = -3x + b

To find "b", plug in the point (4,-2) into the equation

y = -3x + b

-2 = -3(4) + b

-2 = -12 + b  Add 12 on both sides

10 = b


y = -3x + 10   Your answer is B

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Solve 4(x + 2) = 20
KiRa [710]

Answer:

x = 3

Explanation:

\sf 4(x + 2) = 20

\sf 4x + 8 = 20

\sf 4x = 20 - 8

\sf 4x = 12

\sf x = \frac{12}{4}

\sf x = 3

check:

4(x + 2) = 20

4(3 + 2) = 20

4(5) = 20

20 = 20

Hence proved x = 3

4 0
1 year ago
Read 2 more answers
a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th
Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

f(x)=a*b^{x}

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

f(x)=150*3^{x}

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

4 0
2 years ago
What is the distance between (-1,-3),(1,3)
Harlamova29_29 [7]

Answer:

4,4 is the distance

Step-by-step explanation:

cause its 4 squares away for both

3 0
2 years ago
Read 2 more answers
Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it
Alik [6]

Answer:

$59.40

Step-by-step explanation:

8% is equal to 0.08

since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.

5 0
3 years ago
Read 2 more answers
Please help me
scZoUnD [109]
4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1

-1>-4(-1)-6
-1>4-6
-1>-2;    
(-1,-1) is a solution for this in-equation.

(0,-9)
0>-4(-9)-6
0>36-6
0>30    this is not true, therefore (0,-9) is not a solution.

(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22   This is true, therefore (4,-20) is a solution. 

(2,0)
0>-4(2)-6
0>-8-6
0>-14        This is true, therefore (2,0) is a solution.

(-3,6)
6>-4(-3)-6
6>12-6
6>6             This is not true, therefore (-3,6) is not  a solution for this in-equality. 

Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).

8 0
2 years ago
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