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Reika [66]
3 years ago
15

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a

scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

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\frac{2 - ( - 4)}{ - 1 - 1}  =  \frac{2 + 4}{ - 2}  =  -  \frac{6}{2}  =  -  \frac{3}{1}  =  - 3
2. Plug that slope and either point into an equation in slope-intercept form and solve for b.
2 =  - 3( - 1) + b \\ 2 = 3 + b \\  - 1 = b
3. Now write your answer as a slope-intercept form equation
y =  - 3x - 1
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4 years ago
How do you know when an expression is its simplest form
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Step-by-step explanation:

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3 years ago
Can i have help please. Step by step
nignag [31]

Answer: It's in the step-by step explanation

Step-by-step explanation:

I just learned about this too. I'll use what I know to help you out.

According to whatever law of the circle, where you have two intersecting lines within the bounds of a circle(that'd be TQ and SW), the product of the divided segments will equal each other.

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