writing equations in point slope form

Question

how do i find the y intercept in an equation set up like f(x)=x

Answer 1

Hi,

For the y-intercept, always set x = 0.

Step 1: Rewrite f(x) = x as y=x,

Step 2: For the y-intercept, set x = 0. We have y = x ---> y = 0. From this, it's clear that the y-intercept of f(x) = x is 0.

Some extra information: The coordinate for the y-intercept is always written as (0,y)--> in our case, the y-intercept is 0, so we can write the coordinate of the y-intercept as (0,0).

Remember, the y-intercept coordinate is the point where the line on the graph crosses the y-axis.

I hope this helps ;)

Answer 2

if f(x) = x, which is the same as y=x, then the y intercept =0

when a linear equation is solved for y, the y intercept is the constant term, in this case zero or the point (0,0) the origin

y=x is the same as y=x +0, the constant term is zero