Question

Question #171a8

Answer 1

`y = x+17" "`

Explanation:

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.