Answer:
The equation of line a is y = x
The equation of line b is y =
x
Step-by-step explanation:
The equation of the proportional is y = m x, where
- m is the slope of the line (constant of proportionality)
The rule of the slope of a line is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = 
→ Substitute in the form of the equation above
∴ y = (
) x
∴ y =
x
∴ The equation of line b is y =
x
Answer: The expression given simplifies to:
3 .
_________________________________________________
Explanation:
________________________________________________
Given: (3x - 6) / (x-2) ;
___________________________
Factor the numerator into: 3(x-2).
________________________________
Now, rewrite the expression as:
____________________________

;
________________________________________
The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
_______________________________________________________
and we are left with: "3 ".
________________________________
Answer:
<h2>B) 0</h2>
Step-by-step explanation:
The slope of a horizontal line is equal to 0.
The slope of a vertical line is undefined.
The formula of a slope:

Put the coordinates of the pojnts from the graph (2, 9) and (4, 9):

The first question would be A and Cis the answer for the second question!!
Answer:
160 cubic meters
Step-by-step explanation:
Volume = l*w*h
= 8*5*4
=40*4
=160 cubic meters