If you have questions, feel free to ask
Answer:
y = x+2
Step-by-step explanation:
(x1,y1) is (-4,-2) and (x2,y2) is (2,4)
Slope intercept form is y = mx+b
m = slope
b = add on
Slope = 
Substitute numbers
Slope = 
Two negatives = one positive
Simplify

The slope is 1
We can substitute y, x, and the slope
4 = 2*1 + b
4 = 2+b
b = 2
Slope intercept form is y = mx+b
Answer is y = x+2
Hope this helps :)
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
Assuming you means 6.5% tax of a $42 purchase
0.065*42=2.73
tax is $2.73