Question

How do you write `y+5=-6(x+7)` in slope intercept form?

Answer 1

`y=-6x-47`

Explanation:

Slope intercept is written in the form of:

`y=mx+c`

`m` is the gradient of the line.
`c` is the y-intercept.

You can convert the given equation to the slope intercept form by simplifying the equation and grouping the like terms. Steps are as follow:

`y+5=-6(x+7)`

• Expand the bracket by multiplying `-6` with the inner components of the bracket.

`y+5=-6x-42`

• Subtract both sides by `5` to get '`y`' on its on.

`y=-6x-47`

and there you have it. The equation has now been converted to slope incercept form (`y=mx+c`).