Question

This table gives a few (x,y) pairs of a line in the coordinate plane.

Answer 1

-5,0

Explanation:

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Answer 2

x-intercept → (-5, 0)

Explanation:

Let the equation of the line having pairs given in the table is,

y - y' = m(x - x')

m = slope of the line

(x', y') is a point lying on the line.

From the given table,

Two points (33, -22) and (52, -33) lie on the line.

Slope of the line =
`(y_2-y_1)/(x_2-x_1)`

m =
`(-33+22)/(52-33)`

m =
`-(11)/(19)`

Equation of the line passing through (33, -22) and slope =
`-(11)/(19)` will be,

y + 22 =
`-(11)/(19)(x - 33)`

For x-intercept y = 0,

0 + 22 =
`-(11)/(19)(x-33)`

-38 = x - 33

x = -38 + 33

x = -5

Therefore, x-intercept of the line is (-5, 0).