Question

Help me please!!!!!!

Answer 1

a.
`b=2`

b.
`b = 2a`

c.
`a = (1)/(2)b\\`

d.
`b = 10`

Explanation:

Gradient is just another similar term for slope l,
`m`, and it can be calculated by
`m = (y_2 -y_1)/(x_2 -x_1)\\` where
`x_n` and 1
`y_n` is the
`xy`-coordinates of point
`n`

We let
`(0,0)` be point
`1` and
`(a,b)` be point
`2`, we can then write the equation:

`m = (b -0)/(a -0)\\ m = (b)/(a)`.

It also says that the points are with a gradient of
`2` so
`m = 2`. We can then write the equation:

`2 = (b)/(a)\\`

Finding
`b`If
`a = 1`:

`2 = (b)/(a) \\ 2 = (b)/(1) \\ 2 = b \\ b = 2`

Writing an expression for
`b` in terms of
`a`.

`2 = (b)/(a) \\ (b)/(a) = 2 \\ (b)/(a) * a = 2 * a \\ b = 2a`

Writing an expression for
`a` in terms of
`b`

`2 = (b)/(a) \\ (b)/(a) = 2 \\ (a)/(b) = (1)/(2) \\ (a)/(b) * b = (1)/(2) * b \\ a = (1)/(2)b`

Finding
`b` if
`a = 5`

`2 = (b)/(a) \\ 2 = (b)/(5) \\ (b)/(5) = 2 \\ (b)/(5) * 5 = 2 * 5 \\ b = 10`