Question

The graph below shows the line of best fit for data collected on the number of cell phones and cell phone cases sold at a local electronics store on
twelve different days.
Number of Cell Phone Cases Sold
50
*
0 5 10 15 20 25 30 35 40 45
Number of Cell Phones Sold

Which of the following is the equation for the line of best fit?
A. y = 0.8x
B. y = 0.2x
C. y=0.5x
D. y = 0.25x

Answer 1

Answer:

C

Step-by-step explanation:

The equation of a line is given by

and

slope (m) is given by:

Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point

Let's take 2 points arbitrarily. (0,0) & (25,20)

Let's plug it and find the equation:

Now

C is the correct answer.

Answer 2

The correct option is  (A)0.8x.

What is a Straight Line?

• A line is simply an object in geometry that is characterized under zero width object that extends on both sides.
• A straight line is just a line with no curves.
• So, a line that extends to both sides till infinity and has no curves is called a straight line.

• The standard form for linear equations in two variables is Ax+By=C.

• The equation of a line two points are
• $y - y_{1} = m(x - x_{1} )$

                                     slope m = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

the two points are $(x_{1} ,y_{1} ) & (x_{2} ,y_{2} )$.

so,  lets take two points (0,0) & (25,20)

lets put the value in equation,

   m = $\frac{20 -0}{25-0} = 0.8\\now \\ y - y_{1} = m(x - x_{1})$

      y - 0 = 0.8 (x-0)

       y = 0.8x

Therefore, the correct option is  (A)0.8x.

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