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zhenek [66]
3 years ago
6

Solve and check: 5 - 6 = -3 k

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
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Answer:

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<em>The equation of the line in the slope-intercept form is y=6x−24.</em>

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

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Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

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Finally, the equation of the line can be written in the form y=mx+b.

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Answer:

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