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liubo4ka [24]
4 years ago
6

Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)

Mathematics
1 answer:
Georgia [21]4 years ago
7 0
(-2,7) and (14,21)

Find the slope by using the formula m =  \frac{y2 - y1}{x2 - x1}

Plug in the numbers. m = \frac{21 - 7}{14 - - 2} 
 \\  m= \frac{14}{16}  =  \frac{7}{8} 


Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
   + 7            +7

y = 7/8x + 8.75

Our final equation would be: <span>y = 7/8x + 8.75</span>

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A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent
tatuchka [14]

Answer:

4 1/3 cups

Step-by-step explanation:

All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.

5 0
3 years ago
I need help please and thank you
Art [367]

Answer:

 $86.55

Step-by-step explanation:

8.5% x 95 = 8.455

95 - 8.455 = 86.545    =    $86.55

8 0
3 years ago
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or and enlargement...
faltersainse [42]
Scale factor is 1/3
And I think it's an enlargement
5 0
3 years ago
4x+2y=-24<br> -4x+y = 12
allsm [11]

Answer:

Step-by-step explanation:

                                4x+2y = -24    -------------(i)

                              <u>  -4x+y =  12    -</u>------------(ii)

add (i) &(ii)                      3y = -12

                                         y = -12/3

                                         y = -4

Put y = (-4) in (i)

4x + 2*(-4) = -24

4x - 8 = -24

4x = -24 + 8

4x = -16

x = -16/4

x = -4

6 0
3 years ago
ryan can build 4 desks in one day and larry can build 4 desks in 2 days. if larry starts work one day before ryan, how long will
MissTica
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.

Ryan can build 4 desks in a day, so you could express his production as 4d.

Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.

If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:

2 + 4d + 2d = 32.

Then just simplify and solve:

6d = 30
d = 5.

It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
5 0
3 years ago
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