Question

Cant figure it out pls help

Answer 1

5y = -3x + 7

y = -3/5x + 7/5

Parallel = same slope

y = -3/5x + b

3 = -3/5 + b, b = 18/5

Standard form: Ax + By = C

y = -3/5x + 18/5

-3/5x - y = -18/5

Multiply by -5

Solution: 3x + 5y = 18

Answer 2

Answer: Scale factor = 2

This is the same as writing $\frac{2}{1}$

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Explanation:

Focus on the left sides of each triangle. They correspond to one another. Note how RS represents the first two letters of RST; while MN represents the first two letters of MNO. We can see the order matters.

To find the scale factor, we divide MN over RS to get

MN/RS = 6/3 = 2

Therefore, the sides of triangle MNO are 2 times longer compared to the sides of triangle RST.

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Extra info:

If you want to find x, then you would solve the following

MN/RS = ON/TS

6/3 = x/5.5

6*5.5 = 3x

33 = 3x

3x = 33

x = 33/3

x = 11

or we could simply multiply ST = 5.5 by the scale factor 2 getting 5.5*2 = 11, which is the length of segment ON.