Question

What is the x intercept of the line?
(-12,14)
(-2,21)
(8,28)

Answer 1

The x-intercept of the line will be at (32,0)

Explanation:

The equation of a straight line passing through the two known points
`(x_(1),y_(1))` and
`(x_(2),y_(2))` is given by

`(y - y_(1))/(y_(1) - y_(2)) = (x - x_(1))/(x_(1) - x_(2))`

Therefore, the equation of the straight line passing through the points (-12,14) and (-2,21) will be

`(y - 14)/(14 - 21) = (x - (- 12))/(- 12 - (- 2))`

⇒ 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)