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 $y=\frac{1}{2}x+1$.

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:

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

$m=\frac{3-1}{4-0}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

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

$y=\frac{1}{2}x+1$

Equation of the line of best fit in slope-intercept form is $y=\frac{1}{2}x+1$.

Option B is the correct answer.