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Ierofanga [76]
1 year ago
6

Analysis and observations in these two graphs

Mathematics
1 answer:
professor190 [17]1 year ago
7 0

By critically observing the graph, we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

In conclusion, there are four (4) points of intersection on this graph.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

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Answer:

The equation in the slope-intercept form will be:

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Step-by-step explanation:

Given the points

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\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

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We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

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b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

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Thus, the the equation in slope-intercept form will be:

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3     2925

/       \

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/       \

3      325

/       \

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/       \

5      13

/       \

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