Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume and prove
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
Answer:
y=x-2
Step-by-step explanation:
Slope intercept form is a way to describe a function using its slope and y-intercept and is written as y=mx+b.
m=slope
b=y-intercept
Looking at the graph we can see it goes through x=0 at y=-2 making -2 the y-intercept.
Then we must solve for slope, slope is rise/run. From the point (0,-2) the function travels to (7,0).
This gives us a rise (change in x) of 2 and a run (change in y) of 7 and 2/7 as our slope.