Write the equation of the line which passes through (1, 2) and with slope of −1/3

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2) ⇒ x₁ = 1, y₁ = 2

Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}

¹/₃x + y = 2¹/₃ {multiply both sides by 3}

x + 3y = 7

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12 (2 -2)+32 = (x +6) +2

Anestetic [448]

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Remove parentheses.

12 (2 − 2) + 32 = $x$ + 6 + 2

Step 2: Simplify 2 − 2 to 0.

12 × 0 + 32 = $x$ + 6 + 2

Step 3: Simplify 12 × 0 to 0.

0 + 32 = $x$ + 6 + 2

Step 4: Simplify 0 + 32 to 32.

32 = $x$ + 6 + 2

Step 5: $x$ + 6 + 2 to $x$ + 8.

32 = $x$ + 8

Step 6: Subtract 8 from both sides.

32 − 8 = $x$

Step 7: Simplify 32 − 8 to 24.

24 = $x$

Step 8: Switch sides.

$x$ = 24

~I hope I helped you! :)~

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3 years ago

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At the movie theater the blaine family spent $22.00 for twoadult tickets and three child tickets. the hooper family spent $18.50

Anika [276]

2a+3c=22.00 ......equation 1
a+4c=18.50 =>2a+8c=37.00 .....equation 2
subtract equation one from equation two:
5c=37-22=15
c=3
a+4*3=18.50 =>a=6.50

for the Hu family: 3*6.50+1*3.00=22.50 dollars

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3 years ago

Jerome is a pharmacy technician that filled a prescription that use 1/4 bottle of ibuprofen. How many pills did jerome use for t

Neporo4naja [7]

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Now, 1/4 bottle of ibuprofen is used to make the prescription.

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