Question

Please answer this correctly, and you'll receive brainliest.

Answer 1

Given : Graph of a straight line

To find : The equation of the straight line whose graph is given in attached figure.

Solution:-

This question needs some observations inorder to find the required answer.

• From the given graph, we can observe that the straight line is passing through the points (0, 7) and (2, 1) which is easy to be observed.

Now, we know that any equation of straight line can be given by the 'Two point form of straight line', which is given by:

$\underline{\boxed{ \sf y - y_1 = \left( \dfrac{y_2 - y_1}{x_2 - x_1} \right) \cdot (x - x_1)}}$

Here,

• $\sf(x, y)$ are variables.
• $\sf(x_1, y_1) = (0,7)$
• $\sf(x_2, y_2) = (2,1)$

By substituting the known values, we get:

${ \sf\implies y - y_1 = \left( \dfrac{y_2 - y_1}{x_2 - x_1} \right) \cdot (x - x_1)}$

$\sf\implies y - 7 = \left( \dfrac{1 - 7}{2 - 0} \right) \cdot (x - 0)$

$\sf\implies y - 7 = \left(\dfrac{ - 6}{2} \right) \cdot x$

$\sf\implies y - 7 = - 3x$

$\sf\implies 3x + y = 7$

Therefore, the required equation of straight line is, $\sf 3x + y = 7$