# coordinate systems, training question , grade 9

In an orthonormal system , given the points: A(1,3), B(0,4) and C(-1,3); and the line : (d): y=x+4

- Does A belong to (d)?
- Verify that B and C belong to (d) then draw (d).
- Prove that B,C, and F(1,5) are collinear.
- Show that B is midpoint of [FC].
- (BC) cuts (x'x) at point K, find the coordinates of K.
- Write the equation of a line (L) passing thru O and A.
- Are (L) and (d) parallel?Justify.