Question

To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points

below

Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2

Answer 1

A.) on edge2020

Explanation:

took the cummulative exam

Answer 2

y= 4x -2

y= x + 4

Explanation:

To find equation for Data set A and B , pick any two points from the table

(-1,-6) and (1,2)

To find equation use y=mx+b

where m is the slope and b is the y intercept

`m= (y_2-y_1)/(x_2-x_1) = (2+6)/(1+1) = 4`

Use point slope formula, use (1,2)

y-y1=m(x-x1)

y - 2= 4(x-1)

y-2= 4x-4 (add 2 on both sides)

y= 4x -2

(-2,2) and (0,4)

To find equation use y=mx+b

where m is the slope and b is the y intercept

`m= (y_2-y_1)/(x_2-x_1) = (4-2)/(0+2) = 1`

Use point slope formula, use (0,4)

y-y1=m(x-x1)

y - 4= 1(x-0)

y - 4=x (add 4 on both sides)

y= x + 4