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

1 Answer
Alan P.
Jan 29, 2016

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]}

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