Respuesta :
Answer:
Slope: (6 - (-2)) / (-5 - 1) = 8 / -6 = -4/3
Point slope form (i'm using the point (1, -2) but it doesn't matter which one you use): y - (-2) = -4/3(x - 1)
y + 2 = -4/3x + 4/3
y = -4/3x - 2/3
- First, find the slope using rise over run (y2-y1/x2-x1). This will give us ((6-(-2))/(-5-1)) or -4/3.
- Next, plug the slope into our point-slope formula using either point: y-y1=m(x-x1) where m=slope. So we'll get y+2=(-4/3)(x-1)
- Now we simplify to get y by itself:
y+2=-4x/3+4/3, y=-4x/3-2/3
So our equation of our line is y=-4x/3-2/3!