Question

Need help Pls explain

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 (-6,8). So, the equation of the line is:

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

$y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)$

$y+2=\dfrac{10}{-6}x$

$y+2=-\dfrac{5}{3}x$

Subtract 2 from both sides.

$y=-\dfrac{5}{3}x-2$

Therefore, the equation of the line is $y=-\dfrac{5}{3}x-2$.