Question

Find the equation of the line

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 (4,1). So, the equation of the line is

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

`y-(-2)=(1-(-2))/(4-0)(x-0)`

`y+2=(1+2)/(4)(x)`

Subtracting 2 from both sides, we get

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

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