Answer:
y = x - 2
Step-by-step explanation:
Find the slope using rise over run
(y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-5 - 4) / (-3 - 6)
-9 / -9
= 1
Using y = mx + b, plug in the slope and a point to solve for b:
y = mx + b
4 = 1(6) + b
4 = 6 + b
-2 = b
Plug in the slope and b to y = mx + b
y = 1x - 2
y = x - 2
So, the equation of the line is y = x - 2
Answer:
the answer is 9/2 = 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2
Step-by-step explanation:
When yo add all the halves up you get 9/2
Answer:
The Percent change is -30% (decrease)
In this case we have a negative change (decrease) of -30 percent because the new value is smaller than the old value.
Step-by-step explanation:
Here, To find the percentage change, use this formula
<h3>
<u>Formula</u>:</h3>
Percent change = New - Old ÷ |Old| × 100%
Percent change = 210 - 300 ÷ |300| × 100%
Percent change = -90/300 × 100%
Percent change = -30% (decrease)
Thus, The Percent change is -30% (decrease)
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
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<em>Additional comment</em>
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
- 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
- 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
- 180°: (x, y) ⇒ (-x, -y)
Answer:
4x+7y
4(3/4) +7(-1/3)
3-7/3
=2/3
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