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2 answers:
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Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
Refine
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;
The plot of the above point is completed using MS Excel as shown in the attached diagram.
