Question

How do you find the x and y intercepts for `y = 4x`?

Answer 1

x-intercept: `0`
y-intercept: `0`

Explanation:

The x-intercept is the value of `x` where a given equation crosses the x-axis.
Since for all points on the x-axis (and only those points) `y=0`;
an alternate way of saying this is that the x-intercept is the value of `x` when `y=0`
For the given equation `y=4x`
when `y=0`
`color(white)("XXX")0=4x rarr x=0`

Similarly, the y-intercept is the value of `y` when `x=0`
For the given equation `y=4x`
when `x=0`
`color(white)("XXX")y=4xx 0 rarr y=0`

The given equation crosses the x-axis and the y-axis at the same point, the origin `(0,0)`
graph{y=4x [-6.24, 6.244, -3.12, 3.12]}