Find the x- and y-intercepts of the line y=9x.

Answer 1

To find the x-intercept and y-intercept of the line given by the equation \( y = 9x \), we can use the definitions of intercepts:

1. To find the x-intercept (where the line crosses the x-axis), set \( y = 0 \):

   \[ 0 = 9x \]

   Solving for \( x \):

   \[ x = 0 \]

   So, the x-intercept is at the point \( (0, 0) \).

2. To find the y-intercept (where the line crosses the y-axis), set \( x = 0 \):

   \[ y = 9(0) = 0 \]

   So, the y-intercept is also at the point \( (0, 0) \).

In conclusion, the x-intercept and y-intercept of the line \( y = 9x \) are both at the point \( (0, 0) \).