Answered

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(Sa mga nakakaalam ng slope and linear functions)
The slope of the line is 8 and it passes through the points ( 2, 10 ) and ( 1,k ).

The value of the ordinate k is _____

Sagot :

UK2019idn

✏️SLOPE

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[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • The slope of the line is 8 and it passes through the points (2,10) and (1,k).

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex]\qquad\LARGE\rm» \:\: \green{k = 2}[/tex]

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[tex]\underline{\mathbb{SOLUTION:}}[/tex]

- Using the Slope Formula to find the value of k with the slope is 8.

[tex]\begin{aligned}&\bold{\color{lightblue}Formula:}\\&\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\end{aligned} [/tex]

  • [tex]\begin{aligned}{8 = \frac{k - 10}{1 - 2}}\end{aligned} [/tex]

  • [tex]\begin{aligned}{8= \frac{k - 10}{ \text - 1}}\end{aligned} [/tex]

  • [tex]\begin{aligned}{8 \cdot \text - 1= \frac{k - 10}{ \cancel{\text - 1}} \cdot \cancel{ \text - 1}}\end{aligned} [/tex]

  • [tex] \text - 8 = k - 10[/tex]

  • [tex]10 - 8 = k[/tex]

  • [tex]2 = k[/tex]

[tex]\therefore[/tex] The value of k is 2.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

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