Question

write the equation of the straight line shown in the graph ?​

Answer 1

Answer:

The equation is given below

Intercept form:

x/3 + y/6 = 1

2x + y = 6

Answer 2

Given,

Refer figure, a straight line is shown in the graph.

To find,

Equation of the line.

Solution,

It can be seen here from the figure that, the straight line is given in such a way that it has intercepts on both the axes.

The equation for such a line can be found using the intercept form of a line. It is given as,

$\frac{x}{a} +\frac{y}{b} =1$

Where a and b are the intercepts on x- and y- axes respectively.

For the given line, intercept on:

x-axis = a = 3

y-axis = b = 6

Using the intercept form,

$\frac{x}{3} +\frac{y}{6} =1$

This equation can be simplified, and represented as,

$2x+y=6,$

which is the required equation.

Therefore, the equation of the straight line shown in the graph is 2x + y = 6.