Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
1:2
Similar to the 1/2 fraction, 1:2 is a simplified ratio of a half.
You would be 10.5 miles away from your home.
Divide 4w to every term separately.


48/4 = 12
w^3/w = w^2
So our first term is 12w^2.
128/4 = 32
w^2/w = w
So our second term is 32w.
4w/4w = 1
Anything divided by itself is 1.
-1/4w, this can't be simplified further, so this is our last term.
So we have: