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topjm [15]
3 years ago
14

What is the slope of the line through the points (2, 10) and (5, 8)?

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
The slope of a line is calculated by dividing the one y portion of the line by one x portion of the line. In this problem we have two points which can indicate us one portion of the y axis and one portion of the x axis. If we have two points of one line, then we can calculate its slope:
Point one (x1, y1)
Point two (x2, y2)
then the slope can be calculated as:
m = (y2 - y1)/(x2 - x1)

So lets use our data:
Point one (2, 10)
Point two (5, 8)
then the slope can be calculated as:
m = (8 - 10)/(5 - 2<span>)
</span>m = -2/3
therefore the slope is negative and is -2/3
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Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

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step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

so

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

so

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

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