Answer:
2y + x = -5
Explanation:
The standard form of the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the coordinate points (-7, 1) and (-1,-3)
m = y2-y1/x2-x1
m = -3-1/1+7
m = -4/8
m = -1/2
Get the intercept
y = mx+c
1 = -1/2(-7) + c
1 = 7/2 + c
c = 1-7/2
c = -5/2
Get the equation
y = mx+c
y = -1/2 x - 5/2
2y = -x - 5
2y + x = -5
Hence the required equation is 2y + x = -5