Answer:
Second option:
y = - 3x - 1
Explanation:
The line cuts the y-axis at y = -1; this is the y-intercept of the slope-line equation and corresponds to the constant term in the equation
The equation of the line will be of the form
y = mx - 1
where m is the slope
To find slope, find two points on the line(x1, y1) and (x2, y2) which can be easily distinguished
The difference between their y values is called the rise: y2 - y1
The difference between the corresponding x values is called the run: x2 - x1
Slope m = rise/run
In the graph, two easily distinguishable points are (0, -1) and (1, -4)
Therefore rise = y2 - y1 = -4 - (- 1) = -4 + 1 = -3
run = x2 - x1 = 1 - 0 = 1
Slope = -3/1 = -3
Therefore the equation of the line is
y = - 3x - 1
This is the second option