The change in y is

(-1) - (7) = -8.

The change in x is

(5) - (-3) = +8.

The slope is (change in y)/(change in x), or

slope = (-8)/(+8) = -1.

The standard form equation for a line with a slope of -1 will be

x + y = (some constant)

We can add the coordinates of one of the points to find that (some constant) = 4.

Your line is

The slope of the standard form line

ax + by = c

is given by

slope = -a/b.

When the slope is -1, it means a=b. The smallest positive integer values for which this can be true are a=b=1, so that the line becomes x+y=c.

(-1) - (7) = -8.

The change in x is

(5) - (-3) = +8.

The slope is (change in y)/(change in x), or

slope = (-8)/(+8) = -1.

The standard form equation for a line with a slope of -1 will be

x + y = (some constant)

We can add the coordinates of one of the points to find that (some constant) = 4.

Your line is

**x + y = 4**_____The slope of the standard form line

ax + by = c

is given by

slope = -a/b.

When the slope is -1, it means a=b. The smallest positive integer values for which this can be true are a=b=1, so that the line becomes x+y=c.