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y = 1/2x - 6

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

Mathematically we can write the equation of a line as;

y = mx + b

where m is slope and b is the y-intercept

We start by getting the slope

m = (y2-y1)/(x2-x1)

m = (-1+5)/(10-2) = 4/8 = 1/2

So we have the equation partially as;

y = 1/2x + b

to get c, we use any of the two points and substitute the individual x and y values

-1 = 1/2(10) + b

-1 = 5 + b

b = -1-5 = -6

so the equation is;

y = 1/2x - 6

the image of (6, 9) under a dilation is (4, 6). the scale factor is

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632