Rewrite without absolute value for the given condition : y=|x−5|+|x+5|, if −5 i will award ! !

y = | x -5| + |x+5|

as range of x is

-5 < x < 5

we can see if we put x = 0 we get

y = 10

we put any value of x in given range first term is always negative without absolute. and 2nd term is always positive

so

y = | x -5| + |x+5|

= -( x-5) + x + 5

= - x + 5 + x + 5

= 10

so

y = 10 where -5 < x < 5

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b