Question

Find the inequality represented by the graph.

Answer 1

`y<-(4)/(3)x+5`

Explanation:

Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).

Since, the shaded area is below the dotted line, inequality will have the sign less than (<).

Therefore, equation of the inequality will be in the form of,

y < mx + b

Here, m = slope of the line

b = y-intercept

Slope of the line passing through two points (0, 5) and (3, 1),

m =
`(y_2-y_1)/(x_2-x_1)`

=
`(5-1)/(0-3)`

=
`-(4)/(3)`

Y-intercept (at x = 0),

b = 5

Therefore, equation of the inequality will be,

`y<-(4)/(3)x+5`