Question

Write an inequality to represent the graph. a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with shading above the line

Answer 1

`y> (2x)/(3) -7`

Explanation:

The equation of the straight line passing through the points (0,-7) and (3,-5) will be
`(y-(-7))/(-7-(-5)) =(x-0)/(0-3)`

⇒
`(y+7)/(2) =(x)/(3)`

⇒
`y=(2x)/(3) -7` ......... (1).

Now, the inequality shades the upper portion of the straight line.

Therefore, the y value for the inequality will be more than y value for the equation corresponding to a fixed value of x.

Hence, the inequality equation will be
`y> (2x)/(3) -7`. (Answer)