Question

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

Answer 1

Option B:

Equation of the line of best fit in slope-intercept form is
`y=(1)/(2)x+1`.

Solution:

Take two points on the line (0, 1) and (4, 3).

So,
`x_1=0, y_1=1, x_2=4, y_2=3`.

Slope of the line:

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

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

`$m=(2)/(4)`

`$m=(1)/(2)`

y-intercept means the point which crosses at y-axis.

Here the point on the y-axis is (0, 1).

y-intercept (b) = 1

Slope-intercept form:

y = mx + b

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

Equation of the line of best fit in slope-intercept form is
`y=(1)/(2)x+1`.

Option B is the correct answer.