Question

Find the equality represented by the graph?

Answer 1

Answer:

$-x+4y<12$

Step-by-step explanation:

Given: graph

To find:the inequality

Solution:

Equation of a line passing through points $(x_1,y_1),(x_2,y_2)$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Take $(x_1,y_1)=(0,3),(x_2,y_2)=(4,4)$

So,equation of line is evaluated as follows:

$y-3=\frac{4-3}{4-0}(x-0)\\ y-3=\frac{x}{4}\\ 4y-12=x\\-x+4y=12$

As per the graph,inequality is $-x+4y<12$

Here, use sign < and not $\leq$ as line in the graph is dotted that is points on the line are excluded.