Answer:
7) [tex]y = - \frac{5}{3}x[/tex]
8) [tex]y = \frac{1}{2}(3x - 1)[/tex]
Step-by-step explanation:
7) The equation of the straight line passing through the ordered pair (-3,5) and (3,-5) is given by
[tex]\frac{y - 5}{5 - (- 5)} = \frac{x - (- 3)}{- 3 - 3}[/tex]
⇒ -3(y - 5) = 5(x + 3)
⇒ -3y + 15 = 5x + 15
⇒ 5x + 3y = 0
⇒ [tex]y = - \frac{5}{3}x[/tex] (Answer)
8) The equation of the straight line passing through the ordered pair (5,7) and (11,16) is given by
[tex]\frac{y - 7}{7 - 16} = \frac{x - 5}{5 - 11}[/tex]
⇒ 2(y - 7) = 3(x - 5)
⇒ 2y - 14 = 3x - 15
⇒ 3x - 2y - 1 = 0
⇒ [tex]y = \frac{1}{2}(3x - 1)[/tex] (Answer)
