Question

What would the slope and point on a line be for the equation? Equation in details

Equation:
y+2=-1/2(x-7)
Thanks!!

Answer 1

`y + 2 = -1/2 (x-7)`

Let's get this into point-slope form, `y = mx + b`

`y + 2 = -1/2x + 7/2`

`y = -1/2x + 7/2 - 2`

`y = -1/2x + 7/2 + 4/2`

`y = color(red)(-1/2)x + color(green)(11/2)`

This tells us that the `color(red)(slope)` is `color(red)(-1/2)` and the `color(green)(y-i n tercept` is `color(green)(11/2`, meaning `(0, 11/2)`

We can check this using a graph

graph{y = -1/2x + 11/2}