Answer:
Option 1
Step-by-step explanation:
The equations in the options are in the slope-intercept form (y= mx +c, where m is the slope and c is the y-intercept).
In the graph, the line cuts through the y-axis at y= -2. Thus, c= -2 and the 2nd option can be eliminated.
The slope can be found using the formula below.
[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]
Let's choose 2 points on the line: (0, -2) and (-2, 4)
Slope
[tex]=\frac{4-(-2)}{-2-0}[/tex]
[tex]=\frac{4+2}{-2}[/tex]
[tex]=\frac{6}{-2}[/tex]
= -3
The equation of the line is thus y= -3x -2.
For more questions on equation of line, do check out the following!
- https://brainly.com/question/14200719
