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Elena-2011 [213]
3 years ago
9

Write the equation of the line that passes through the points (3,4) and (1,5)

Mathematics
2 answers:
Illusion [34]3 years ago
8 0
Hi,

y=  -\frac{1}{2} x+b



Nostrana [21]3 years ago
3 0
Given points
(x₁,y₁) = (3,4)
(x₂,y₂) = (1,5)

FIRST
Find the slope of the line. This is general formula to determine the slope
m = (y₂ - y₁)/(x₂ - x₁)

Plug in the numbers to the formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 4)/(1 - 3)
m = 1/(-2)
m = -1/2

SECOND
Determine the line equation
This is general formula to determine the line equation
y - y₁ = m(x - x₁)

Plug in the numbers
y - 4 = -1/2 (x - 3)
y - 4 = (-1/2)x + 3/2
y = (-1/2)x + 3/2 + 4
y = (-1/2)x + 11/2
(this is the equation of the line)
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Answer:

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Step-by-step explanation:

f(x)=(x+2)(-x+3)(x-2)

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

<u>-x  + 3               </u>

-x³           + 4x

<u>      + 3x²         - 12</u>

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12

5 0
3 years ago
Simplify each algebraic expression.
GREYUIT [131]

Answer:

\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}

Step-by-step explanation:

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Hope this helped!

~AnonymousHelper1807

3 0
3 years ago
WILL GIVE BRAINLIEST
TEA [102]
Yes because 3² + 4² = 5²


to be sure

9 + 16 = 25

25 = 25
3 0
3 years ago
Plz help only have 11 mins ​
marin [14]

Answer:

Step-by-step explanation:

18 7/8 - 14 7/9

18 63/72 - 14 56/72

=  4 7/72

answer is B

5 0
3 years ago
What percent is equivalent to the fraction and decimal below? Enter your
adoni [48]

Answer:

Percent = 20%

Step-by-step explanation:

Since we have a decimal form of 2/10, we can turn it into percentage by multiplying 0.20 by 100.

=> 0.20 by 100

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Therefore, 20% is our answer.

Hoped this helped.

4 0
2 years ago
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