Question #171a8

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Answer 1 · 2017-03-16T07:58:39

#y = x+17" "#

Lines which are parallel have the same slope.
Change the given equation into the form #y = color(red)(m)x+b#

#4y -4x =8" "rarr 4y = 4x +8" "rarry = color(red)(1)x+2#

Now we can see the slope. # color(red)(m = 1)#

The new line has #color(red)(m = 1)# and passes through #(color(blue)(-7),color(magenta)(10))#

You can use the formula #y-color(magenta)(y_1) =color(red)(m)(x-color(blue)(x_1))#

#y -(color(magenta)(10)) = color(red)(1)(x-(color(blue)(-7)))" "larr# now simplify

#y-10 = x+7#

#y = x+7+10#

#y = x+17" "# is the equation of the new line.