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

Answer:

$y> \frac{2x}{3} -7$

Step-by-step explanation:

The equation of the straight line passing through the points (0,-7) and (3,-5) will be $\frac{y-(-7)}{-7-(-5)} =\frac{x-0}{0-3}$

⇒ $\frac{y+7}{2} =\frac{x}{3}$

⇒$y=\frac{2x}{3} -7$ ......... (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 $y> \frac{2x}{3} -7$. (Answer)