Answer:
I dont know what options you have but all these are possible answers
y - 5 = 1/2 ( x - 4 )
y - 3 = 1/2 x
y = 1/2 x + 3
Step-by-step explanation:
In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion
y2 - y1 / x2 - x1
and you would get :
now you plug it into the point slope formula which is y - y = m ( x - x )
and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.
Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(-3,7)....x1 = -3 and y1 = 7
(9,-1)...x2 = 9 and y2 = -1
now we sub
slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3
y = mx + b
slope(m) = -2/3
use either of ur points...I will use (-3,7)...x = -3 and y = 7
now we sub and find b, the y intercept
7 = -2/3(-3) + b
7 = 2 + b
7 - 2 = b
5 = b
so ur equation is : y = -2/3x + 5 <===
Answer:
Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:
After some algebraic manipulation, area expression can be reduce to an one-variable form:
The first derivative of the previous equation is:
Let the expression be equalized to zero:
The second derivative is:
According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:
The maximum area is:
Answer:
C
Step-by-step explanation:
(7b-4) + (-2b+a+1)
= 7b - 4 - 2b + a + 1
=7b - 2b + a - 4 + 1
=5b + a - 3
