What is the solution to this system of equations? 2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution

A. y = -5x + 11

Step-by-step explanation:

The general form of the equation of a line is given as

y - y1 = m (x - x1)

where m is the slope and x1, y1 are the coordinates of a point on the line.

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

Given the points (1,6) and (3, -4)

m = (-4-6)/(3-1)

=-10/2

= -5

The equation of the line will be

y - 6 = -5(x -1)

y - 6 = -5x + 5

Add 6 to both side

y = -5x + 5 + 6

y = -5x + 11

Option A