Intercepts | Example Notebook

Find the intercepts of a line:

In[37]:=

[◼]	Intercepts

[y3x+5,{x,y}]

Out[37]=

x-

5

3

,0,y{{0,5}}

In[38]:=

Plot[3x+5,{x,-3,3},EpilogJoin[{Red,PointSize@Large},Point/@Flatten[Values[%],{1}]]]

Out[38]=

———

Find the intercepts of a parabola:

In[39]:=

[◼]	Intercepts

[y==x^2+2x-3,{x,y}]

Out[39]=

x{{-3,0},{1,0}},y{{0,-3}}

In[40]:=

Plot[x^2+2x-3,{x,-4,2.5},EpilogJoin[{Red,PointSize@Large},Point/@Flatten[Values[%],{1}]]]

Out[40]=

———

Find the intercepts of an implicitly-defined circle:

In[41]:=

[◼]	Intercepts

[(x-1.75)^2+(y-0.3)^29,{x,y}]

Out[41]=

x{{-1.23496,0},{4.73496,0}},y{{0,-2.1367},{0,2.7367}}

In[42]:=

Plot[{0.3+Sqrt[9-(x-1.75)^2],0.3-Sqrt[9-(x-1.75)^2]},{x,-5,5},EpilogJoin[{Red,PointSize@Large},Point/@Flatten[Values[%],{1}]]]

Out[42]=