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Help pls i’m stuck and i rlly need help

Help pls i’m stuck and i rlly need help-example-1
User Charma
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2 Answers

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9 votes
what the other person said
User Arjun Shahi
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17 votes
17 votes

Answer:

slope is 4/3

a = 9

y = -2

Explanation:

The slope can be seen from the blue lines with a deltaX of 6 and a deltaY of 8. The slope is defined as deltaY/deltaX, i.e., 8/6 = 4/3.

Between points (6, 6) and (a, 10), deltaX is a-6 and deltaY is 10-6=4.

So 4/(a-6) = 4/3 must hold. This simplifies to a-6 = 3 so a=9.

The equation of the line is y = (4/3)x + b, where b must be chosen such that (6,6) is on the line. b is also by definition the y coordinate of the y intercept.

6 = (4/3)·6 + b, so b = 6 - 8 = -2.

The equation of the line is y = (4/3)x - 2 and it crosses the y axis at (0, -2).

User Benjamin Scharbau
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