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fchadwayne9185
10.11.2020 •
Mathematics
I messed up on the first question I asked, but this one is right!
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Ответ:
1) m=2/3
2) b=10
3) x-int:(-15, 0)
4) y-int: (0, 10)
Our equation is:
Step-by-step explanation:
To start, let’s find the equation of the line.
We can use the point-slope form:
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute 2/3 for m and (-3, 8) for (x₁, y₁). This yields:
Simplify:
Distribute:
Add 8 to both sides:
This is in slope intercept form: y=mx+b.
Therefore, our m is 2/3 and our b is 10.
To find the x-intercept, we will substitute 0 for y and solve for x. Therefore:
Subtract 10 from both sides:
Multiply both sides by 3/2. So:
Therefore, the x-intercept is (-15, 0).
To find the y-intercept, we will substitute 0 for x and solve for y. Therefore:
So, the y-intercept is (0, 10).
We will also graph it. See the attachment. To graph by hand, we can start at the y-intercept and go up two for every three to the right. Or, we can go down two for every three to the left. This should yield the following graph:
Ответ: