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VladimirAG [237]
3 years ago
9

Write an equation for the line that passes through the points (0, -2) and (-4, 0).

Mathematics
2 answers:
adoni [48]3 years ago
7 0

Answer:

y=-1/2x-2

Step-by-step explanation:

I dont think any of those options are the right one so thats the correct answer

tekilochka [14]3 years ago
5 0

Answer:    y = -1/2x - 2

Step-by-step explanation:

To first write the equation, we need to find the slope and the y intercept and write it in the form  y=mx +b

To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.

The y coordinates of the points are , 0 and -2

The x coordinates of the points are -4 and 0

0 - (-2) = 2

-4 -0 = -4

Slope:  2/-4 = -1/2

Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.

We will use the point (0,-2)

  -2 = -1/2(0) + b

-2 = b

  This means the equation will be  y = -1/2x - 2

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Which of the following is true about the equation y = -5x + 10? *
madreJ [45]

Answer: The equation has a positive y-intercept

This is because the constant is +10

5 0
3 years ago
Alliic
pochemuha
First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis 
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that <span>y + 5 = -3(x - 1) had</span>, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3 
since we dont know what y is, our final solution is
x = - \frac{2+y}{3} , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.  
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators 
x = 5 + y/4
since we dont know what y is, our answer is x = \frac{5+y}{4} , y ∈ R
since this is also not equivalent to <span>y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions 
:)</span>
5 0
3 years ago
Find the area of the figure. PLEASE HELP I NEED IT URGENT PLEASE
ale4655 [162]

Answer:

#5

Area = Area of bigger triangle - Area of small triangle

{ \rm{area = ( \frac{1}{2}  \times b_{b}  \times h_{b}) - ( \frac{1}{2} \times b_{s} \times h _{s} )}} \\  \\ { \tt{area = ( \frac{1}{2} \times 18 \times 7) - ( \frac{1}{2} \times (18 - 13) \times 7)  }} \\  \\ { \tt{area = (9 \times 7) - (2.5 \times 7)}} \\  \\ { \underline{ \tt{ \:  \: area = 45.5 \:  \: sq \: units \:  \: }}}

#8

Area = area of square + area of two right angled triangles

{ \tt{area = (s \times s) + 2( \frac{1}{2}  \times b \times h)}} \\  \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\  \\ { \underline{ \tt{ \:  \: area = 75 \:  \:  {m}^{2}  \:  \: }}}

5 0
1 year ago
Read 2 more answers
What is the SLOPE of the LINES that passes through the points (13,1) and (-2,4 )
olga55 [171]

Answer: M= slope

M= -1/5

Step-by-step explanation:

M= the change in y over the change in x so you would do 1-4 over 13-(-2) which gives you -3 over 15 which is simplified to give you the answer which is -1/5.

7 0
3 years ago
If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails?
andreyandreev [35.5K]

Answer:

50/50

Step-by-step explanation:

2 is half of 4. 4/2 is 50/50

3 0
2 years ago
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