Question

Can you please help me finish the equation and the rest if possible!

Answer 1

y = -x+11 is the equation of line.

Explanation:

We have to find the equation of line.

We have given the scatter plot that shows the value of bike over the number of years from the first purchase.

To find the equation of line,select two points of the line to find the slope:

(4,7), (8,3).

Slope = (x₂ - x₁) / (y₂-y₁)

Slope = (8-4)/(3-7)

Slope = 4/-4 = -1

The standard form of point-slope equation is:

y = m(x) +c

To find the y-intercept we use any point of equation that is (8,3)

putting this point in the equation we get,

3 = (-1)(8) +c

3 = -8+c

c = 11

putting this value in standard form we get,

y = -x+11

y = -x+11 is the equation of line.

Answer 2

y = -x + 11

Explanation:

We are given a scatter plot which shows the values of the bikes over the number of years since its first purchase and we are to find the equation of the given line.

Taking two points on the line to find the slope: (4, 7), (8, 3)

Slope =
`(8-4)/(3-7) =(4)/(-4) =-1`

We know the standard slope intercept form of an equation of a line is
`y=mx+c`.

Substituting the coordinates of any point on line with the slope to find the y-intercept.

`y=mx+c\\\\3=(-1)8+c\\\\c=11`

So the equation of the line is y = -x + 11.