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DanielleElmas [232]
3 years ago
10

Which quantity is proportional to 35⁄80?

Mathematics
2 answers:
AlekseyPX3 years ago
5 0

I believe this is the answer

7/16



zimovet [89]3 years ago
4 0

Answer:

7/16

Step-by-step explanation:

Well the biggest number that is divisible by 35 and 80 is 5

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You know that two lines are parallel if they have the same slope, so the new line will also have slope

m=\frac{1}{3}

Because the equation of the given line is written in the form

\begin{gathered} y=mx+b \\ \text{Where} \\ m\colon\text{slope of the line} \\ b\colon\text{ y-intercept} \end{gathered}

Then, you can use point slope equation, which is

\begin{gathered} y-y_1=m(x_{}-x_1) \\ \text{Where} \\ (x_1,y_1)\colon\text{ point through which the line passes.} \\ m\colon\text{slope of the line} \end{gathered}

So,

\begin{gathered} (x_1,y_1)=(0,6) \\ \text{ And you have} \\ y-y_1=m(x_{}-x_1) \\ y-6=\frac{1}{3}(x-0) \\ y-6=\frac{1}{3}x-0 \\ y-6=\frac{1}{3}x \\ \text{ Add 6 to both sides of the equation} \\ y-6+6=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}

Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6)​ is

y=\frac{1}{3}x+6

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