Question

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 \( (0, 0) \).