Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,-2)
1 answer:
Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula, or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
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So, let's take a look! When doing volume, we always do (addition) and nothing else. The only time that we would have to multiply is if we would have to find the area, but in this case, we are (going to figure) out what would be the volume.
We would sum up the following:
.
I believe that we would multiply this by (2) because we would have to find the other side as well.
And this would give us . . . 64 as it's volume.
V= (64)
We would sum up the following:
I believe that we would multiply this by (2) because we would have to find the other side as well.
And this would give us . . . 64 as it's volume.
V= (64)
Answer:
4
Step-by-step explanation:
y-7=-3, then y=4