To find the equation of the line in slope-intercept form, we first need to find the slope of the line.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 1) and (1, -4) on the line:
m = (-4 - 1) / (1 - 0) = -5 / 1 = -5
The slope of the line is -5.
Next, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (1, -4):
y - (-4) = -5(x - 1)
y + 4 = -5x + 5
y = -5x + 1
So, the equation of the line in slope-intercept form is y = -5x + 1.
Therefore, the correct response is:
y = -5x + 1