Question

Question #b04b9

Answer 1

`y = -5x -21`

Explanation:

Slope intercept form means `y = mc + c` because in this form we can read off the slope (m) and the y-intercept directly.

We know the slope, but the point `(-5.4)` is not the y-intercept.
It would have to be `(0,c)`

There are 2 methods:

Method 1 .: Substitute into `y = mx +c` and find a value for `c`

`4 = (-5)(-5) + c`
`4 = 25 + c`
`-21 = c`
Substitute for `m and c`

The required form is `y = -5x -21`

Method 2: Substitute into `y-y_1 = m(x-x_1)`

`y-4 = -5(xcolor(red)(-(-5)))`

`y color(blue)(-4)= -5(xcolor(red)(+5))`
`y = -5x -25color(blue)(+4)`