F(n-1) = f(n) - 5, based off of the first one
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form:
where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u>
<u>)</u>
The equation to solve for the slope is
when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug
into
.
<u>1) Solve for the y-intercept (</u>
<u>)</u>
Then, take any of the given points and plug it into
along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!
Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)