Question

Find and equation for the line that passes through the points (-6,-4) and (4,4).

Answer 1

We have (x-4)/(-6-4) = (y-4)/(-4-4);
(x-4)/(-10) = (y-4)/(-8);
(x-4)/5 = (y-4)/4;
4x-16 = 5y-20;
4x - 5y + 4 = 0;

Answer 2

The 2-point form of the equation for a line is good for this.
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
.. y = (4 -(-4))/(4 -(-6)) *(x -(-6)) +(-4)
.. y = (4/5)*(x +6) -4 . . . . . . . . . . . . . . an equation for the line through the points