Answer:
The equation is y = -3x.
The function is linear.
The point (2, -6) is on the graph of the function.
Step-by-step explanation:
The function is linear.
direct variation function is always linear. and linear means a straight line which is true in this case
The equation is y = -3x.
equation of line is y=mx+c
where, m=slope= -3.
it is linear so we are assuming it passes origin, (0,0).
m=(y2-y1)/(x2-x1)
now substituting m=-3 and (0,0) in x1 and y1.
-3=(y2-0)/(x2-0)
-3=y2/x2
y2=-3*x2
where y2=y, x2=x,
therefore,
y=-3x.
The point (2, -6) is on the graph of the function.
now,
y=-3x
substituting x=2,
y=-3(2)
y=-6
therefore,
if x=2, y=-6, (2,-6)
