Question

the table shows some of the solutions for an inequality related to the line shown in the graph. which inequality describes the solution set?

Answer 1

Option B

Explanation:

By plotting the points given in the table,

All points lie below the dark red line.

Let the equation of the line is,

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

Here, m = Slope of the line

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

Slope of the line passing through two points (-1, 3) and (0, 1) =
`(y_2-y_1)/(x_2-x_1)`

m =
`(3-1)/(-1-0)`

m = -2

Therefore, equation of the line passing through (0, 1),

y - 1 = -2(x - 0)

y = -2x + 1

Since all the points given in the table lie below the dark red line so the solution are will be,

y ≤ -2x + 1

Option B will be the correct option.