Answer: The <u>absolute value</u> of -6 is 6 because it is 6 units away from zero on <u>the number line</u>
In terms symbols, we use vertical bars like this
|-6| = 6
to represent absolute value. Absolute value is distance from zero on a number line. Negative distance is not possible.
Answer:

Explanation:
part A identification for slope:




comparing with slope intercept form: y = mx + b
we can find that here the slope is
part B, solving the equation:
if the line is parallel, then the slope will be same.
given coordinates: ( - 10, 1 )
using the equation:
y - y₁ = m( x - x₁ )



Extra information:
check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm
Dimensions of the box are:-
length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm