Lets rewrite each set of points.
(-4√2, -2√3) and (-4√2, 2√3).
Now, you can see that both points are on the same horizontal line, meaning the x values are the same. this means that you only need to consider the y values. So, to take the distance we can do 2√3 - (- 2√3). This is the same as 2√3 + 2√3, which is 4√3.
Answer:
the answer is 92 rounded up
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x = 9
That's point-slope form:
y - y1 = m(x - x1)
Where y1 is the y-value of a point on the line, x1 is the x-value, and 'm' is the slope.
So let's find out what goes in the first blank.
As we can see, they replaced 'x1' with -1, and one of our points have an x-value of -1, that point is (-1, -2), this means y2 must be -2:
y + 2 = m(x + 1)
Now let's find the slope between the two points.
m = y2-y1/x2-x1
m = (10+2)/(3+1)
m = 12/4
m = 3
So the slope is 3, plug that in:
y + 2 = 3(x + 1)
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