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amid [387]
3 years ago
10

What is the equation of the line that passes through point (4, 12) and has a y- intercept of -2?

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

y = (7/2)x - 2

Step-by-step explanation:

Use slope-intercept formula for linear equations y = mx + b

x and y show what points are on the line. We know (4, 12). x= 4 and y = 12

b is the y-intercept, which b = -2.

m is the slope.

To write the equation, you need the slope and y-intercept. Find the slope by putting x, y and b into the formula.

y = mx + b

12 = 4m - 2

14 = 4m

14/4 = m

m = 7/2

Put "m" into the formula with "b"

y = (7/2)x - 2

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An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel
horrorfan [7]

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

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7 0
3 years ago
700 is 2 parts in the ratio 3:2, how much would 3 parts be?
Ad libitum [116K]

answer:

3 parts will be 420

explanation:

total ratio: 3 + 2 = 5

5 ➳ 700

1 ➳ 700/5

1 ➳ 140

solve for 3 : 2

3 ➳ 140 * 3 = 420

2 ➳ 140 * 2 = 280

5 0
2 years ago
Read 2 more answers
What is a common factor called
zlopas [31]
  <span>A common factor is a factor of 2 or more numbers. 
the factors of 12 are: 1,2,3,4,6,12 
the factors of 21 are: 1,3,7,21 

1 and 3 are both common factors of 12 and 21.</span>
7 0
3 years ago
Need helppp hurry please i only have 1 check answer
Angelina_Jolie [31]

Answer: 1

Step-by-step explanation: 3z+6 you subtract 6 from each side which gives u 3z=3 then u divide so 3 divide by 3 is one or just z

8 0
2 years ago
Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
suter [353]
A reflection through the axis and is given by the following transformation rule:
 (x, y) -------> (-x, y)
 We have the following point:
 C = (5, 3)
 Applying the transformation rule we have:
 (5, 3) -------> (-5, 3)
 Therefore, C' is given by:
 C '= (- 5, 3)
 Answer:
 (-5, 3)
6 0
4 years ago
Read 2 more answers
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