Question

Please answer w/ explanation !

write an equation in slope-intercept form when given the information:
slope = 0, goes through the point (-3 , 3)

Answer 1

The answer to the question is y=3

Answer 2

`y=3`

Explanation:

We are given the slope of the line and a point on the line.

So, we can utilize the point-slope form, given by:

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

Where m is the slope and (x₁, y₁) is a point.

We know that the slope is 0. So, m = 0.

And we will let (-3, 3) be (x₁, y₁). Hence, by subsitution:

`y-(3)=0(x-(-3))`

Simplify:

`y-3=0`

We can add 3 to both sides. Hence, our equation is:

`y=3`

As you would've expect, since it had a slope of 0, it is a horizontal line.