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pickupchik [31]
3 years ago
9

Can someone help with this

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.

How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.

Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.

Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)

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                                                           Part A)

Given

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Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = 6
  • (x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

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Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

y - 2 = 6(x-7)

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = -3
  • (x₁, y₁) = (3, 8)

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 8 = -3(x-3)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

y - 8 = -3(x-3)        

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