Question

Need help

Pls explain

Answer 1

Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-(-2)=(8-(-2))/(-6-0)(x-0)`

`y+2=(10)/(-6)x`

`y+2=-(5)/(3)x`

Subtract 2 from both sides.

`y=-(5)/(3)x-2`

Therefore, the equation of the line is
`y=-(5)/(3)x-2`.