Final answer:
The equation of the line in slope-intercept form that goes through the points (0, -4) and (5, -4) is y = -4, which indicates a horizontal line with a slope of 0 and a y-intercept of -4.
Step-by-step explanation:
The question involves finding the equation of a line in slope-intercept form, which passes through two given points. Here, the two points given are (0, -4) and (5, -4). The first thing to note is that since the y-coordinates of both points are the same, this line is horizontal, meaning that there is no change in the y-value no matter what the x-value is. Therefore, the slope of this line is 0.
Now, the slope-intercept form of a line is typically written as y = mx + b, where m is the slope and b is the y-intercept. In this case, the y-intercept is the y-coordinate of the point where the line crosses the y-axis, which is -4. Substituting our values into the slope-intercept form gives us y = 0x - 4, which simplifies to y = -4.
Hence, the equation of the line in slope-intercept form that goes through the points (0, -4) and (5, -4) is y = -4.