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

Answer:

y = 1/2x + 1

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

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

Answer 2

Answer:

$y=1/2x+1$

Step-by-step explanation:

$slope= m=\frac{y_2-y_1}{x_2-x_1}$

(0, 1) is y-intercept

The line crosses (4, 3)

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

$y=mx+b$

$y=1/2x+1$