Question

He 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?

Answer 1

`y=1/2x+1`

Explanation:

`slope= m=(y_2-y_1)/(x_2-x_1)`

(0, 1) is y-intercept

The line crosses (4, 3)

`m = (3 - 1)/(4 - 0)\\m = 2/4=1/2`

`y=mx+b`

`y=1/2x+1`

Answer 2

y = 1/2x + 1

Explanation:

Slope-Intercept Form: y = mx + b

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Step 1: Find coordinates of line of best fit

(0, 1) y-int

(4, 3) random

Step 2: Find slope m

m = (3 - 1)/(4 - 0)

m = 2/4

m = 1/2

Step 3: Write known variables

y = 1/2x + 1