The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Draw whats on the paper, thats your answer
An=a1+d(n-1)
a1=first term
an=nth term
d=common dffernce
given
first term is -5
it increases by 1
an=-5+1(n-1)
a10
a10=-5+1(10-1)
a10=-5+1(9)
a10=-5+9
a10=4
10th term or a10 is 4
C^2 = 9^2 + 6^2
c^2 = 81 + 36
c^2 = 117
c = √117
c = 10.82
