Indicate the equation of the given line in standard form, the line containing the hypotenuse of right triangle abc where a(-5,5), b(1,1) c(3,4) are the vertices

Refer to the figure shown below.

The hypotenuse passes through the points (3,4) and (-5,5).
Calculate the slope.
m = (5-4)/(-5-3) = -1/8

In slope-intercept form, the equation of the hypotenuse is

Cross multiply.
8(y-4) = -(x-3)
8y - 32 = -x + 3
8y = -x + 35
y = -(1/8)x + 35/8