Answer:
The x-intercept of the line will be at (32,0)
Step-by-step explanation:
The equation of a straight line passing through the two known points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by
[tex]\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}[/tex]
Therefore, the equation of the straight line passing through the points (-12,14) and (-2,21) will be
[tex]\frac{y - 14}{14 - 21} = \frac{x - (- 12)}{- 12 - (- 2)}[/tex]
⇒ 10(y - 14) = 7(x + 12)
⇒ 7x - 10y + 224 = 0 .......... (1)
Now, putting y = 0, we will get the x-intercept as 7x = - 224
⇒ x = - 32
Therefore, the x-intercept of the line will be at (- 32,0) (Answer)
