Step-by-step explanation:
Ok so the slope-intercept form is represented as: [tex]y=mx+b[/tex]
Now in this form: m=slope, and b=y-intercept
The reason why b represents the y-intercept, is because if you look at the y-axis, any point on the y-axis has x=0, so in general a point on the y-axis can just be represented as (0, y)
So to find the y-intercept of a linear function, or in general any equation, we just plug in 0 as x.
If we do this using the general formula we get: [tex]y=m(0)+b[/tex]
As you may know, 0 * anything = 0, so that means that we can simplify this equation to: [tex]y=b[/tex]. This means the y-value of the y-intercept is just going to be b, or more specifically the point is going to be at (0, b)
