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11111nata11111 [884]
3 years ago
9

Find the equation of a line which passes through (2 4) with a slope of ½​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

<u>Explanation:</u>-

Given a point ( 2, 4) and slope m =  \frac{1}{2}

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = \frac{1}{2} ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

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If one gallon is the same amount as 4 quarts, how many quarts are in 5 gallons?
wlad13 [49]
If one gallon = 4 quarts
Then 5 gallons = x quarts

To solve this we can set up a porportion

1/4 = 5/x

To solve the porportion we need to find the rule so how to we get to 4 from 1? Well we can multiply 1 by 4 to get one right?

So if this is true, 1 x 4 = 4 then 5 x 4 must equal x

5 x 4 = 20 so the answer would be 20 quarts are in 5 gallons

Another way to look at this is that you have 5 gallons and in each gallon is 4 quarts to if there is 4 quarts in every one gallon then that’s just 4 + 4 + 4 + 4 + 4 or 5 x 4

I hope this helps! <3

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