Slope = (-5-1)/(7+1) = -6/8 = -3/4
Perpendicular slope = 4/3
Midpoint = ((-1+7)/2 , (1+(-5))/2) = (3, 3)
equation:
y = mx + c
y = 4/3 x + c
at point (3, 3)
3 = 4/3(3) + c
c = 3 - 4 = -1
y = 4/3 x - 1 or 3y = 4x - 3
Represent your unknowns: Let s be the length of one side of the box. The relationship between s and x is s = x-4.
The volume of the box is (length)(width)(height), which here equals the following: V(x) = (x-4)*(x-4)*(x). You may either leave this result as is, or shorten it to V(x) = (x-4)^2*x, or expand (x-4)*(x-4)*(x).
Answer:
y = 4x+4
Step-by-step explanation:
Using the coordinate point (1, 8) and (2, 12) from the table
Slope m = 12-8/2-1
m = 4/1
m = 4
Get the intercept
Substitute m = 4 and (1, 8) into y = mx+c
8 = 4(1) + c
8 - 4 = c
c = 4
Get the required equation
y = 4x + 4
Hence the required linear equation is y = 4x+4
Well, 7 times 5 is 35 so if that's the case there's your answer.
