Which quadrants does the line representing the equation y = 8x pass through? Check all that apply.
To determine which quadrants the line representing the equation y = 8x passes through, we need to understand the signs of the x and y-coordinates in each quadrant.
The cartesian coordinate plane is divided into four quadrants as follows:
1. Quadrant I: The x and y-coordinates are both positive.
2. Quadrant II: The x-coordinate is negative, and the y-coordinate is positive.
3. Quadrant III: Both the x and y-coordinates are negative.
4. Quadrant IV: The x-coordinate is positive, and the y-coordinate is negative.
Now, let's analyze the equation y = 8x. Since the coefficient of x is positive (8 > 0), the line will have a positive slope. This means that as x increases, y will increase as well.
From this information, we can conclude that the line representing y = 8x passes through Quadrant I and Quadrant II. In Quadrant I, both x and y are positive, and in Quadrant II, x is negative, and y is positive.
Therefore, the answer is:
- Quadrant I
- Quadrant II
clearly if x>0 then y>0 and if x<0 then y < 0
where are point of the form (+,+) and (-, -) ?