Question

What is the y-intercept of the line of best fit?

What is the slope of the line of best fit for this scatter plot?
What is the equation of the line of best fit?

Answer 1

the y-intercept is 8.
the slope is -1/2
the equation is y=-1/2x+8

Answer 2

y intercept: 8

slope: - 1/2

equation: y = - 1/2 * x + 8

Explanation:

2 points choosed for best fit line (2,7) (4,6)

y = mx +b m: slope b: y intercept

m = difference of y / difference of x = (6 - 7) / (4 - 2) = - 1/2

for (2, 7) b = y - mx =7 - (-1/2) * 2 = 8

equation: y = - 1/2 x + 8

check: (4,6) 6 = (-1/2) * 4 + 8