Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.
The answers to the questions
Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)
So since she cut up each pizza into 5ths then 5 kids per pizza
5+5+5+5+5+5+5+5+5+5=50
the answer is 50 children
Answer:
Step-by-step explanation:
Given that,
We need to find the value of cos x.
We know that,
Using the above relation,
So, the value of cos x is equal to 
.
