Question

need help.............

Reduce all fractional answers to lowest terms.

A line that passes midway between and is parallel to both x - y = 6 and x - y = -6.

Answer 1

hi,
let's take the first one..
x - y = 6
y = x - 6
and the second one..
x - y = -6
y = x + 6

hence the line question asks ask to draw should be parallel to these 2 lines the slope should not be changed. which means..
If the line we have to draw have the shape..
y = mx + c
where m is the gradient or slope and the c is y intercept
m should be 1 cause the "m" (slope) of the given 2 is also 1
then we can short the line's equation
y = x + c

the next condition is ..
that the line has to pass midway in between given 2
the first line
goes through the -6 when x = 0
the second
goes through the 6 when x = 0

the mid point between -6 and 6 is 0
then the line we have to draw should pass
0 when x = 0
which means it's y intercept(c) should be 0

then the function of the line is...
y= x


hope this will help ya!!

Answer 2

i did thankx :)

Answer 3

u r welcome!