Question

Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?

Answer 1

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Answer:

• p = -3/2
• q = 9
• r = -5/2

Explanation:

Put the given coordinates in the equation for the line and solve for the unknown.

y = -2x +3

(p, 6) ⇒ 6 = -2p +3 ⇒ p = -3/2

(-3, q) ⇒ q = -2(-3) +3 ⇒ q = 9

(r, 8) ⇒ 8 = -2r +3 ⇒ r = -5/2