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Arturiano [62]
3 years ago
8

Find the slope and y-intercept of the line 6x−7y=2

Mathematics
1 answer:
Allisa [31]3 years ago
3 0
To easily find the slope and y intercept of the line, put it in slope intercept form by rearranging the variables around.

6x-7y = 2
6x - 7y + 7y = 2 + 7y
6x = 7y + 2
6x - 2 = 7y + 2 - 2
7y = 6x - 2
7y/7 = 6x/7 - 2/7
Y = 6/7(X) - 2/7

Y = 6/7x - 2/7
Slope = m = 6/7
Y intercept = b = -2/7
(0, -2/7).
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5. 0.025 hr

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Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

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2. In 0.25 hr beverly had not reached the highway

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⇒ 20 + 69.43 = 89.43 miles

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⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

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⇒ time = 0.025 hr

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