SOLUTION: Find the value of k so that the three points lie on the same line. Write the equation in point slope form. The points given are (1,-2) (-2,4) (4,k)

Question 686223: Find the value of k so that the three points lie on the same line. Write the equation in point slope form. The points given are (1,-2) (-2,4) (4,k)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the value of k so that the three points lie on the same line. Write the equation in point slope form. The points given are (1,-2) (-2,4) (4,k)
**
y-y1=m(x-x1)
using given point (1,-2)
y-(-2)=m(x-1)
y+2=m(x-1)
using given points (1,-2) and (-2,4) to find slope,m
m=∆y/∆x=(4-(-2))/(-2-1)=(4+2)/-3=6/-3=-2
y+2=-2(x-1)
y+2=-2x+2
y=-2x
solving for k
k=-2*4=-8
k=-8
see graph below:

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