Question

Find the distance between each pair of parallel lines with the given equations.

y = x + 9
y=x+3

Answer 1

Explanation:

So count how many units up the lower line is from the upper line (look at the y - axis). Or you could use the distance formula knowing your points since the slope and y - intercept is constant.

You can derive the points \displaystyle \{(0,3)\,,\,(0,9)\}{(0,3),(0,9)} because they are you y - intercepts.

So now use the distance formula:\(\displaystyle \L \;d\,=\,\sqrt{{(x_1\,-\,x_2)}^2\,+\,{(y_1\,-\,y_2)}^2}\)

....To get \(\displaystyle \L \;d\,=\,6\)

Think you can do the second one now?