Question

F the coordinates of point a are (-3, 2) and the coordinates of point b are (7, 6), the x-intercept of is . point lies on .

Answer 1

The x-intercept  = (18/5, 0)

Explanation:

Correct Question :

If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), find the x-intercept of CD.

Given :

• The coordinates of point A are (-3, 2)
• The coordinates of point B are (7, 6)

To Find :

The x-intercept.

Solution:

Step 1 is to find the the coordinates of point C:

So,

⇒ C (x, y) = [(-3+7)/2, (2+6)/2]

⇒ (2, 4)

$\rule{300}{1.5}$

Step 2 is to find the equation of CD.

So,

Slope :

⇒ (6-2)/(7-3)

⇒ 4/10  = 2/5

And,

Slope of CD :

⇒ -5/2

⇒ -5/2 = (y - 4)/(x - 2)

⇒ -5/2(x - 2) = y - 4

⇒ (-5/2) x + 5 = y - 4

⇒ y = (-5/2)x + 9

Now,

For the x-intercept the value of y will 0

∴ y = (-5/2)x + 9  

⇒ 0 = (-5/2)x + 9  

⇒ 5/2 x = 9

⇒ x = 2/5 × 9

⇒ 18/5

∴ The x-intercept  :  (18/5, 0)