Answer:
3x - 4y - 7 = 0
Step-by-step explanation:
We know that the equation of a straight line passing through two known points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by
[tex]\frac{y - y_2}{y_2 - y_1} = \frac{x - x_2}{x_2 - x_1}[/tex]
Therefore, the equation of the straight line passing through the points (21,14) and (49,35) will be
[tex]\frac{y - 35}{35 - 14} = \frac{x - 49}{49 - 21}[/tex]
⇒ [tex]\frac{y - 35}{21} = \frac{x - 49}{28}[/tex]
⇒ 4(y - 35) = 3(x - 49)
⇒ 4y - 140 = 3x - 147
⇒ 3x - 4y - 7 = 0 (Answer)
