Question

This table gives a few (x, y) pairs of a line in the coordinate plane.
x ......y
48 -30
61 -45
74 -60

What is the x-intercept of the line?

Answer 1

Answer:

22

Step-by-step explanation:

Consider any two points, say (48, 30) and (61, 45).

Slope of the line joining them must be:

= (y2 - y1)/(x2 - x1) = (45 - 30)/(61 - 48)

= 15/13 ,

since they are in same line, you will get the same result from (48,30) & (74,60) or any other combination.

Therefore, equation of the line joining them:

=> y - y1 = m(x - x1)

=> y - 30 = (15/13) (x - 48)

=> 13(y - 30) = 15(x - 48)

=> 15x - 13y = 330

=> (15x)/330 - (13y/330) = 1

=> x/22 + (-y/330/13) = 1

compare this with x/a + y/b = 1 where a is x intercept and b is y intercept.

So, here, x intercept is 22.

Answer 2

Step-by-step explanation:

22 is the correct answer......