Question

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

What is the equation of this line of best fit in slope-intercept form?

y = 1x + one half
y = one halfx + 1
y = 1x − one half
y = negative one halfx + 1

Answer 1

(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

Answer 2

Answer: The correct option is (B)
`y=(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=(2-1)/(2-0)\\\\\\\Rightarrow m=(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=(1)/(2)x+1.`

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

`y=(1)/(2)x+1.`

Option (B) is CORRECT.