Answer:
A: y - 6 = -5/4(x+4)
E: y-2 = -5/4(x-1)
Step-by-step explanation:
If there is a point (x1,y1) on coordinate plane and slope is m then point-slope form of equation is given by
y-y1 = m(x-x1).
We also know that if there are two point (x1,y1) and (x2,y2) on coordinate plane then its slope is given by
slope m = (x1-x2)/(y1-y2).
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Given that
points are (-4, 6) and (1, 2).
then slope m = (-4 -1)/(6-2) = -5/4
thus, slope m for required line is -5/4
Now , that we have two points (-4, 6) and (1, 2). Both can be used to get point-slope equations.
using point slope equation form expression y-y1 = m(x-x1)
we have
1. point-slope equation for (-4, 6)
y - 6 = -5/4(x-(-4))
=> y - 6 = -5/4(x+4)
2. point-slope equation for (1,2)
y-2 = -5/4(x-1)
Thus, option A: y - 6 = -5/4(x+4) is one solution
option E: y-2 = -5/4(x-1) is another solution.
