Question

How do you write the equation in point slope form given Point: (1, 9); Slope: 5?

Answer 1

`y=5x+4`

Explanation:

To begin, you're going to want to find your `y`-intercept (or `b`). To do this, you have to substitute your point `(1,9)` into an equation. Those two points represent `x` `(1)` and `y` `(9)`. Like this:

`y=5x+b`

`9 = 5 * 1 +b`

`9 = 5 + b`

`9 - 5 = b implies b = 4` (your `y`-intercept)

Now, since you already have your slope `(5)`, just plug everything into your final equation `(y=mx+b)`

`y = 5x + 4`