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Liula [17]
2 years ago
11

What is the image point of (-4, 8) after a translation right 4 units and up 2 units?

Mathematics
1 answer:
Vitek1552 [10]2 years ago
4 0

Given:

Point = ( -4,8).

To find:

The image point of (-4, 8) after a translation right 4 units and up 2 units.

Solution:

We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is

(x,y)\to (x+4,y+2)

The point is (-4,8).

Putting x=-4 and y=8, we get

(-4,2)\to (-4+4,8+2)

(-4,2)\to (0,10)

Therefore, the image of point (-4,8) is (0,10).

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How do I do this.....
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Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​
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Answer:

The answer is

<h2>y =  -  \frac{2}{3} x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

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m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

<h3>m =  \frac{ - 1 - 7}{9 + 3}  =  -  \frac{8}{12}  =  -  \frac{2}{3}</h3>

Now we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

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( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

<h3>y - 7 =  -  \frac{2}{3} (x + 3) \\ y - 7 =  -  \frac{2}{3} x - 2 \\ y =  -  \frac{2}{3} x - 2 + 7</h3>

We have the final answer as

<h3>y =  -  \frac{2}{3} x + 5</h3>

Hope this helps you

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