I'm confused with this concept. Does the Y-intercept has multiple answers?

y=mx+b

Sometimes my teacher replace the x or y with 0. Sometimes she replace the x and y with the points. But when can you do these?

Thank you for the opportunity to help you with your question!

Given a linear equation y=mx+b

m is the gradient/slope of the equation and b is the y intercept

Note that to get b as the y intercept, we have substituted the value of x to be zero hence

y=0+b

y=b

y intercept is the point when x=0

Likewise to calculate the value of x-intercept we substitute the value of y to zero

mx=y-b

x=(0-b)/m

x=-b/m

Note the difference while calculating the y-intercept and x-intercept

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