The equation of the line is y = -2/3x - 3.
To find this, we first need to turn the intercepts into ordered pairs.
x intercept: (-4.5, 0)
y intercept: (0, -3)
Now we can use these two points and the slope equation to find slope.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(-4.5 - 0)
m = 3/-4.5
m = -2/3
Now that we have the slope, we can use slope intercept form to find the intercept.
y = mx + b
-3 = 2/3(0) + b
-3 = 0 + b
-3 = b
Which allows us to model the equation as y = -2/3x - 3
