George has a triangle-shaped garden in his backyard. he drew a model of this garden on a coordinate grid with vertices a(4, 2), b(2, 4), and c(6, 4). he wants to create another, similar-shaped garden, a? b? c? , by dilating triangle abc by a scale factor of 0.5. what are the coordinates of triangle a? b? c? ? a. a? (2, 2), b? (1, 2), c? (3, 2) b. a? (2, 1), b? (1, 2), c? (3, 2) c. a? (8, 4), b? (4, 8), c? (12, 8) d. a? (2, 1), b? (1, 2), c? (6, 4)

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w