y= 10-5x Find the Y-intercept. Please show all work
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.
\(\sf~y=-5x+\boxed{\sf10}\)
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.