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

Y-intercept = 8

Slope = -1/2t

Equation = y =-1/2x+8

Explanation:

When x = 0, y = y-intercept.

Therefore, the y-intercept is 8.

We can find the slope using the formula y2-y1 / x2-x1 = m.

Let's use the points (0,8) and (4,6)

6-8 / 4-0 = m;

m = - 1/2.

Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:

y = -1/2x+8.

Answer 2

y-intercept : 8

slope: -1/2

equation:
`y = -(1)/(2)x + 8`

Explanation:

The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)

Slope of the line can be found by the formula (y2-y1) / (x2-x1) where 9x1, y1) and (x2, y2) are two points on the line

Let's take the points (0, 8) and (10, 3) the two extreme points on the line

Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2

Equation of a line in slope intercept form is

y = mx + c

where m is the slope

b is the y intercept

The equation of the line is therefore

`y = -(1)/(2)x + 8`