Question

The graph highlights two other points on the trend line. Use them to find another equation for the trend line shown for this scatter plot.
Y=82x+998 , Y=247.7x-335 , Y=743x-1647 , Y=998+82 ?

Answer 1

The general equation of the line:
 y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow

m = (1900-1162)/(11-2) = 82
 
 ∴  y = 82 x + c

By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998

∴ y = 82x + 998

The first choice is the correct answer

Answer 2

The trend line shown for this scatters plot is y = 82x+998, the correct option is A.

What is a linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

The linear relation can be represented as;

$\rm y=mx+c$

Where m is the slope of the line.

The value of m is given by the following formula;

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{1900-1162}{11-2}\\\\m =\dfrac{738}{9}\\\\m=82$

The trend line shown for this scatter plot is;

$\rm y-y_1=m(x-x_1)\\\\y-1162= 82(x-2)\\\\y-1162=82x-164\\\\y-82x=-164+1162\\\\y-82x=998\\\\y=82x+998$

Hence, the trend line shown for this scatters plot is y = 82x+998.

Learn more about linear equations here;

https://brainly.com/question/12371137

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