Question 163972
If you are given two points, you can determine the slope from:
m = (y2-y1)/(x2-x1)
Our two points:( -3, 7 ) and (5,-1)
substituting it in, we get:
m = (-1-7)/(5-(-3))
m = (-8)/(5+3)
m = (-8)/(8)
m = -1
.
Now that we know the slope (-1), we can use one of the two given points (say we use ( -3, 7 )) and plug it into the "point-slope" form of a line:
      y – y1 = m(x – x1)
      y – 7 = -1(x – (-3))
      y – 7 = -1(x + 3)
      y – 7 = -x - 3
      y = -x + 4  (this is our equation of the line)