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iren2701 [21]
3 years ago
14

Find the slope and the y-intercept of the equation: 6y - 3x= -12

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Slope can be found but putting the equation in slope intercept form (y=mx+b)

6y=3x-12
y= 0.5x-2

M is your slope, b is the y intercept.

So the slope is 1/2, yintercept is (0,-2)

Hope this helps
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The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

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According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t (1)

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h(t) - Current depth of the hole, measured in inches.

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\Delta h - Filled level, measured in inches.

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t - Time, measured in hours.

If we know that h_{o} = 24\,in, \Delta h = 6\,in and \Delta t = 0.5\,h, then the function that models the depth of the hole is:

h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

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