In the xy-coordinate system, if (a,b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y - 7, then k = ?
A) 9
B) 3
C) 7/3
D) 1
E) 1/3
OA - D
coordinate geometry
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x=3y-7
Re-write in y=mx+b form.
(x+7)/3=y
x/3+7/3=y
slope=m=1/3
Slope=y2-y1/x2-x1
1/3=b+k-b/a+3-a
1/3=k/3
k=1
D is correct.
Re-write in y=mx+b form.
(x+7)/3=y
x/3+7/3=y
slope=m=1/3
Slope=y2-y1/x2-x1
1/3=b+k-b/a+3-a
1/3=k/3
k=1
D is correct.