Question

(6.04)The line of best fit for a scatter plot is shown:

Answer 1

Answer:  The correct option is (B) $y=\dfrac{1}{2}x+1.$

Step-by-step explanation:  We are given a line of best fit for a scatter plot in the figure.

We are to find the equation of the line of best fit in slope-intercept form.

We know that the slope-intercept form of a line is given by

$y=mx+c,$

where m is the slope and c is the y-intercept of the line.

From the figure, we note that

the line passes through the points (0, 1) and (2, 2). So, the slope of the line will be

$m=\dfrac{2-1}{2-0}\\\\\\\Rightarrow m=\dfrac{1}{2}.$

At x = 0, y = 1, so the y-intercept of the line, c = 1.

Therefore, the equation of the line will be

$y=mx+c\\\\\Rightarrow y=\dfrac{1}{2}x+1.$

Thus,  the equation of the line of best fit in slope-intercept form is

$y=\dfrac{1}{2}x+1.$

Option (B) is CORRECT.

Answer 2

(0,1)(2,2)
slope = (2 - 1) / (2 - 0) = 1/2

y = mx + b
slope(m) = 1/2
(0,1)..x = 0 and y = 1
sub and find b, the y int
1 = 1/2(0) + b
1 = b

so ur equation is : y = 1/2x + 1