Finding the value for a new score that will yield a given mean
1 answer:
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Answer:
point slope form: y-3=(x+2)
slope-intercept form: y=x+
Step-by-step explanation:
so to find point-slope form, you first have to find the slope of the line
--slope ==
(you have to use the two points shown: (-2,3) and (3,0) to plug in for y1, y2, x1, and x2 to find the slope.)
so your slope is .
Now all you have to do is use one of the points (-2,3) to sub in for y1 and x1 in the point-slope form equation.
Therefore, you get y-3=(x+2) for point-slope form.
Now for slope-intercept form, you already have the slope because you found it to complete the equation for point slope form
slope =
Now slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
So, far we have y=x+b
the easiet point to use for the x and y values is (3,0)
so, lets substitute: 0=(3)+b, which becomes 0=
+b
add to both sides to get b=
Now you have both the slope and the y-intercept so you can now write the line in slope-intercept form.
You get .
<u>Red</u>
This is a circle with center (h, k) at (0,0) and radius (r) = 6
Formula: (x - h)² + (y - k)² = r²
Answer: x² + y² = 36
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<u>Blue</u>
This is a circle with center (h, k) at (2,2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x - 2)² + (y - 2)² = 1
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<u>Green:</u>
This is a circle with center (h, k) at (-2,-2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x + 2)² + (y + 2)² = 1
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<u>Purple:</u>
This is an ellipse with center (h, k) at (0,-2) and radius on the x-axis (a) = 3 and radius on the x-axis (b) = 1
Formula:
Answer:
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<u>Black:</u>
This is a parabola with vertex (h, k) at (0,-6) and vertical stretch (a) = -1
Formula: y = a(x - h)² + k
Answer: y = -x² - 6