Question

What is the equation of the line with slope `m= 6/13` that passes through `(12,19)`?

Answer 1

The equation is: `y = 6/13x + 175/13`

Explanation:

Since `y = mx + n` and m = 6/13, every time that x changes its value in 13, y also changes, but only 6.

So, `12 - 13 = -1` and `19 - 6 = 13`. When `x` is -1, `y` is 13. So, just add 1 to `x` and `m` to `y`:
`-1 +1 = 0` and `13 + 6/13 = 175/13` `to`y-intercept.

So, the equation is: `y = 6/13x + 175/13`.