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Y= 10-5x Find the Y-intercept. Please show all work

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The y-intercept is the point where the graph of the function crosses the y-axis. That's just another way of saying that it's the value of the function when 'x' is zero (because 'x' is zero at every point on the y-axis). / / / When 'x' is zero, y=10-5x is just y=10 , and there's your y-intercept ... y=10.
User Jason Damiani
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We can re-arrange it into slope-intercept form(
\sf~y=mx+b).


\sf~y=10-5x

Switch -5x and 10 around:


\sf~y=-5x+10

Now it's in slope intercept form.


\sf~y=mx+b

Where
\sf~m is the slope, and
\sf~b is the y-intercept.

So in this case, 10 is the y-intercept.


\sf~y=-5x+\boxed{\sf10}
User Guice
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