Question

Write an
equation that represents the line.
Use exact numbers.

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 (3,-2). So, the equation of the line is:

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

`y-2=(-2-2)/(3-0)(x-0)`

`y-2=(-4)/(3)x`

Adding 2 on both sides, we get

`y=-(4)/(3)x+2`

Therefore, the equation for the given line is
`y=-(4)/(3)x+2`.