Answer:
y = -2x -2
Explanation:
You want an equation for the line shown in the graph. It crosses the x-axis at x=-1 and the y-axis at y=-2.
Slope
The slope of the line is its "ris" divided by its "run". Between the x-axis crossing, where x=-1 and y=0, and the y-axis crossing where x=0 and y=-2, the line goes down 2 grid squares and right 1 grid square.
The slope is ...
m = rise/run = -2/1 = -2
Y-intercept
The y-intercept is where the line crosses the vertical y-axis, at y=-2.
b = -2
Slope-intercept equation
The slope-intercept equation of the line is ...
y = mx +b . . . . . . . . . line with slope m and y-intercept b
y = -2x -2 . . . . . . . . . . line with slope -2 and y-intercept -2