I'd say option b, you can learn why by isolating x.
(3,61),(13,33)
slope = (33 - 61) / (13 - 3) = -28/10 = - 14/5 = -2.8
y = mx + b
slope(m) = -2.8
use either of ur points....(3,61)...x = 3 and y = 61
now sub into the formula and find b, the y int
61 = -2.8(3) + b
61 = -8.4 + b
61 + 8.4 = b
69.4 = b
so ur equation is : y = -2.8x + 69.4
Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
Answer:
The value of n = 9th term
Step-by-step explanation:
Given:
In an arithmetic series
a3 = 15
d = -3/2
an = 6
Find:
The value of n
Computation:
In an arithmetic series
An = a + [n - 1]d
where,
An = last term
a = first term
n = number of term
d = common difference
So,
a3 = a + 2d
15 = a + 2(-3/2)
15 = a - 3
a = 18
An = a + [n - 1]d
6 = 18 + [n - 1][-3/2]
-12 = [n-1][-3/2]
8 = n - 1
The value of n = 9th term