Question

Write an equation in point-slope form

I NEED HELP ASAP

Answer 1

`\huge\boxed{y+2=-(4)/(3)(x-3)}`

Given a point and a slope, we want to write an equation in point-slope form.

The point-slope form is defined as:

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

In this equation,
`(x_1, y_1)` is a known point on the line and
`m` is the line's slope.

Substitute in the values:

`y-(-2)=-(4)/(3)(x-3)`

Finally, simplify. Subtracting a negative number is the same as adding a positive number:

`\large\boxed{y+2=-(4)/(3)(x-3)}`