Since you have not included the plot, I'll just tell you how to find the function of the graph that you are looking for.
Function of the straight line has the general formula: y = mx + c
where:
m is the slope of the line and c is the y-intercept
So first we will need to find the slope (m):
Taking two points from the graph (x1,y1) and (x2,y2), the slope can be calculated as follows:
m = (y2-y2) / (x2-x2)
Then, we will need to find the y intercept.
we have the equation y = mx + c and we have m calculated
Take any point that belongs to the line and substitute with the values of x,y and m and then calculate c.
Now you have both m and c calculated, just substitute with the values in the formula.
Using the given information, the height of the shorter cone is 6.81 cm
<h3>Calculating volume of a cone </h3>
From the question, we are to determine the height of the shorter cone.
First, we will calculate the volume of the first cone
Using the formula for calculating the volume of a cone,

Where V is the volume
r is the radius
and h is the height
From the given information,
r = 8.5 cm
h = 10 cm
Then,


cm³
Now, for the shorter cone
r = 10.3 cm
Since the two cones have the exact same volume, we can write that



h = 6.81 cm
Hence, the height of the shorter cone is 6.81 cm.
Learn more on Calculating volume of a cone here: brainly.com/question/12004994
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Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4