Question

Draw the graph of the linear equation $x+3y=4$
(i) From the line drawn for the given equation, take two points and show that these points satisfy the given equation
(ii) Take two points from outside of the graph (line drawn) and show that three points do not satisfy the given equation.

Answer 1

Let us take two points $(0,\frac{4}{3})(4,0)$ tchecking;

hat are on the line $x+3y=4$ so we need to check whether they satisfies are not;

$\left(0\right)+3\left(\frac{4}{3}\right)-4=4-4=0;\left(4\right)+3\left(0\right)-4=4-4=0$ ; satisfying.

Let us take two points out of the graph $(0,0),(4,\frac{4}{3})$

$\left(0\right)+3\left(0\right)-4=-4;\left(4\right)+3\left(\frac{4}{3}\right)-4=4$ not satisfying.