Question 167462
(-3,4), (3,-4)
First we find the slope (m)
m=(y2-y1)/(x1-x2)
m=(-4-4)/(3+3)
m=-8/6=-4/3 is the slope
Now replace one set of x&y values in the line formula[Y=mX+b] & solve for the y intercept(b).
4=-4/3*-3+b
4=12/3+b
4=4+b
b=4-4
b=0
y=-4x/3 is the line equation for a line through (-3,4)(3,-4).
{{{ graph( 300, 200, -6, 5, -10, 10, y = -4x/3) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -4x/3).