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.

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