Question

6

(0,1)
(-1.5, 0)
0
6
-2
What equation represents the graph shown? Using the equation
editor, enter an equation that represents the graph.

Answer 1

Given:

The graph of a line.

To find:

The equation for the given line.

Solution:

If a line passes through two points, then the equation of the line is:

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

From the given graph it is clear that the line passes through the points (-1.5,0) and (0,1). So, the equation of the line is:

`y-0=(1-0)/(0-(-1.5))(x-(-1.5))`

`y=(1)/(1.5)(x+1.5)`

`y=(1)/(1.5)(x)+(1)/(1.5)(1.5)`

`y=(1)/(1.5)x+1`

Therefore, the equation of the given line is
`y=(1)/(1.5)x+1`.