2 years ago

What are the slope and y-intercept for the graph of y – 7x = 10?

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:A. slope: 7, y-intercept: 10

Step-by-step explanation:

Transform the equation into slope intercept form, y=7x+10. In the form y=mx+b, m = slope and b = y-intercept

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One tomato plant is 12 inches tall in a grows 1.5 inches per week another tomato is 6 inches tall and grows 2 inches per week af

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%20%7D%20%20%2B%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202%20-%20%20%5Cfrac%

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For this case we must solve the following equation:

$\frac {5} {7} + \frac {x} {2} = 2- \frac {x} {7}$

So, we have:

$\frac {10 + 7x} {14} = \frac {14-x} {7}\\7 (10 + 7x) = 14 (14-x)$

We apply distributive property to both sides of the equation:

$70 + 49x = 196-14x$

We add 14x to both sides of the equation:

$70 + 49x + 14x = 196\\70 + 63x = 196$

We subtract 70 to both sides of the equation:

$63x = 196-70\\63x = 126\\x = \frac {126} {63}\\x = 2$

So, the solution is: $x = 2$

Answer:

$x = 2$

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