x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by linear function **y=ax+b** we find coordinates of the point **A** represent **x** intercept using value for the second coordinate **y=0** then return this value to linear function

**0=ax+b** subtract b from both sides

**-b -b**

**-b=ax ** divide by a which id different then 0

**-b/a=x**

X-itercept is a point **A(-b/a, 0)**

For y intercept point** B (x.y) **our first coordinate** x=0, **return this value to the linear function **y=ax+b**

**y=a*0+b **

**Y=0+b**

**y=b**

**y** intercept is a point **B(0,b)**

** **Example** y=2x+6**. For x intercept **y=0**, return to linear function and in the place oy poot its value

**0=2x+6** subtract **6**

**-6 -6**

** -6=2x** divide by **2**

**-3=x**

X intercept points is a point **A(-3,0)**

** **For the y intercept point** B(x,y) x=0**, return to linear function and in the place of x poot its value

**y=2x+6**

** y=2*0+6**

** y=0+6**

** y=6**

**x **intercept is a point **B(0,6).**

For the special types of linear equations:

1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)

2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.

3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).

4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines.