What is "3x=9" in y=mx+b form, and what is its slope, y-intercept, and x-intercept? [i think that its x-intercept is (3,0), but i'm not sure about any of the others]

Also, what is the x-intercept of "2y+16=0"? [is it "none"?]

To convert the equation "3x=9" into the y=mx+b form, where m represents the slope and b represents the y-intercept, we need to isolate x. Here's how we can do it:

1. Start with the given equation: 3x = 9.
2. Divide both sides of the equation by 3 to isolate x: x = 3.
3. Now that we have x = 3, we can rewrite the equation in y=mx+b form. Since there is no y-term in this equation, the y-intercept (b) is 0. The slope (m) is not explicitly stated, but we can assume it to be 0, as there is no coefficient multiplying x.

So, the equation "3x=9" in y=mx+b form is simply x = 3. Its slope is 0, and the y-intercept is 0. Keep in mind that in this case, the equation represents a vertical line since the slope is 0 (no change in y for any change in x).

Now, let's consider the equation "2y+16=0" and find its x-intercept if any. To find the x-intercept, we need to set y=0 and solve for x. Here's how:

1. Start with the given equation: 2y + 16 = 0.
2. Set y=0: 2(0) + 16 = 0.
3. Simplify: 16 = 0.

Since the equation simplifies to 16 = 0, and 16 is not equal to 0, there is no solution to this equation. Therefore, the x-intercept for the equation "2y+16=0" is "none."