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:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

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:

$y-0=\dfrac{1-0}{0-(-1.5)}(x-(-1.5))$

$y=\dfrac{1}{1.5}(x+1.5)$

$y=\dfrac{1}{1.5}(x)+\dfrac{1}{1.5}(1.5)$

$y=\dfrac{1}{1.5}x+1$

Therefore, the equation of the given line is $y=\dfrac{1}{1.5}x+1$.