What is an equation of the line that passes through the points (5, -4)(-5,4)

Answer 1

Start with the equation of a line: Y = mX + b. Find m or slope: (change in Y) / (change in X) or (4 +4) / (-5 -5) or -4/5. Use the values of one of the points for the variables Y and X and solve for b:

4 = (-4/5) (-5) + b = 4 + b

b = 0

Rewrite Y = mX + b using the values for m and b.

Answer 2

Use two-poinf form from Algebra 1

(y + 4) / (x - 5) = (-4 - 5) / (4 + 5)