Question

FIND THE EQUATION OF THE LINE.
I NEED ANSWER WITH STEP BY STEP PLEASE

Answer 1

Given:

The graph of a line.

To find:

The equation for the given line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-5) and (5,0). So, the equation of the line is:

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

`y-(-5)=(0-(-5))/(5-0)(x-0)`

`y+5=(5)/(5)(x)`

`y+5=x`

Subtract 5 from both sides.

`y+5-5=x-5`

`y=x-5`

Therefore, the equation of the given line is
`y=x-5`.