Which two points should you use to find the equation of the model? a linear model for the data in the table shown in the scatter plot ? with question a and b

a. (1,14) and (7,7)

b. slope = -1.2

Step-by-step explanation:

a. Use the points that are actually on the drawn line

(1,14) and (7,7)

b. Slope formula is :

It doesnt matter which one is 1 or 2. I will take (1,14) as (x1, y1) and (7,7) as (x2, y2)

(A) (1, 14) and (7, 7)

(B) -1.17

Step-by-step explanation:

(A) the 2 points that should be used are: (1, 14) and (7, 7). The reason is that these 2 points are the closest to the trend line.

(B) With 2 points - (x1, y1) and (x2, y2) - a linear equation can be obtained. The slope (m) of the line is computed as follows:

m = (y2 - y1)/(x2 - x1)

m = (7 - 14)/(7 - 1) = -1.17

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

6 cm

step-by-step explanation: