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fenix001 [56]
3 years ago
7

Find the slope of the line that passes through (3, 7) and (6, 8).

Mathematics
2 answers:
OLEGan [10]3 years ago
8 0

Answer:

Slope = 1/3

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for slope M of equation of line</em>

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

<em>Step 3: Solve the system of equations in step 2 for M</em>

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

morpeh [17]3 years ago
3 0

Answer:

slope =  \frac{1}{3}

Step-by-step explanation:

(3 \:  \:  \:  ,\:  \:  \: 7) =  > (x1 \:  \:  \:  ,\:  \:  \: x2) \\ (6 \:  \:  \:  ,\:  \:  \: 8) =  > (y1 \:  \:  \:  \: , \:  \:  \: y2)

slope \\  =  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{7 - 8}{3 - 6}  \\  =  \frac{ - 1}{ - 3}  \\  =  \frac{1}{3}

hope this helps

brainliest appreciated

good luck! have a nice day!

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