Question

What is the slope and `y` intercept of the line with equation `y=-5x+1`?

Answer 1

`m=-5` and `y`-intercept `=b=1`

Explanation:

`y=-5x+1` is the equation of a specific straight line.

The equation of any line is `color (red) (y=mx+b)`

All I did was to compare `y=mx+b` and `y=-5x+1`

You can clearly see that `m=-5` and `b=1`

This is the easiest way to do this example but there is another way, when you don't know what the general equation of a straight line looks like.
All you have to do is to plug two values for `x` and find `y` or vice-versa, find the slope with `m=(y_2-y_1)/(x_2-x_1)` then graph the line and check where it touches the `y`-axis (that is your `b`)

Let me know if you have any question or would like to see what I just wrote :)

Hope this helps :)