To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the two points given.
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-1 -(-4)) / (1 - 0)
Slope (m) = 3 / 1
Slope (m) = 3
Now that we have the slope (m = 3), we can use one of the points and the slope to find the y-intercept (b).
Using the point (1, -1):
-1 = 3(1) + b
b = -4
Now that we have the slope (m = 3) and the y-intercept (b = -4), we can write the equation of the line in slope-intercept form:
y = mx + b
y = 3x - 4
Therefore, the equation of the line in slope-intercept form is y = 3x - 4.