Question

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

Answer 1

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.

Answer 2

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}`