Answered

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4. The line AB passes through the points A (k, 3) and (5, 4).The gradient of AB is 1/3 Find the value of k ​

Sagot :

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Answer:

answer is

k=2

Step-by-step explanation:

For this type of question let's use an equation that's are used to find the slope.

[tex]m = (y2 - y1) \div (x2 - x1)[/tex]

Now, substitute the numbers we have,

[tex] \frac{1}{3 } = (4 - 3) \div ( 5 - k)[/tex]

[tex] \frac{1}{3} = 1 \div (5 - k)[/tex]

[tex] \frac{1}{3} = \frac{1}{5 - k}[/tex]

[tex]5 - k = 3[/tex]

[tex]k = 2[/tex]

To check your answer,

m= 4-3/5-2

m=1/3

BOOM!

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