Question

The line of best fit for a scatter plot is shown below:

A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3.

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

The equation of this line of best fit in slope-intercept form is:

y = one halfx + 1

Explanation:

For this case we have that the trend line goes through the following points:

"A line of best fit passes through the y-axis at 1 and through the point 4 and 3"

That is, it goes through:

(0, 1)

(4, 3)

The equation of the line is:

Where,

The slope is:

Substituting values:

Answer:

The equation of this line of best fit in slope-intercept form is:

y = one halfx + 1

the answer above is correct

Answer 2

For this case we have that the trend line goes through the following points:
"A line of best fit passes through the y-axis at 1 and through the point 4 and 3"
That is, it goes through:
(0, 1)
(4, 3)
The equation of the line is:

`y = mx + b`
Where,

`b = 1`
The slope is:

`m = (y2-y1) / (x2-x1) m = (3-1) / (4-0) m = (2) / (4) m = 1/2`
Substituting values:

`y = (1/2) x + 1`
Answer:
The equation of this line of best fit in slope-intercept form is:
y = one halfx + 1