What is the common ratio of the sequence? -2, 6, -18, 54,...
2 answers:
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The slopes of two parallel lines must be identical.
We have slope
, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,
, where our point 
is substituted for 
.
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
We have slope
Now, to find an equation that also passes through the given point, we use slope-point form,
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.