Question

How do you write the equation in point slope form given (-1,4) slope m=5/4?

Answer 1

`y = 5/4x +2 1/4`

Explanation:

Point-slope form is `y = mx +c`

You have been given the slope `(m)` and a point `(x,y)`.

Substitute these values into `y=mx+c` and solve to find a value for `c`.

`4 = 5/4 (-1)+c`
`4 = -5/4 +c`

`4+5/4 = c" " larr 5/4 = 1 1/4`

`c = 2 1/4`

`y = 5/4x+2 1/7" "larr` the required equation
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There is also a formula which applies to this scenario directly, where you have the slope and a point.

`y-y_1 = m(x-x_1)`

`y color(blue)(-4) = 5/4(x-(-1))`

`y = 5/4x+5/4color(blue)(+4)`

`y = 5/4x +2 1/4`