To find the equation of the line in slope-intercept form (y = mx + b), we first need to find the slope (m) and the y-intercept (b).
The slope (m) is the change in y divided by the change in x. Given two points (0, -4) and (1, -1), we can calculate the slope as follows:
m = (-1 - (-4)) / (1 - 0) = (3) / (1) = 3
Now, we know our line has the form y = 3x + b.
To find the y-intercept (b), we can use one of the given points. Since the point (0, -4) is on the line, we can replace x and y in our equation with these values:
-4 = 3(0) + b
-4 = 0 + b
-4 = b
Now, we have both the slope and y-intercept, so the equation of the line in slope-intercept form is:
y = 3x - 4