write the equation of the line in slope-intercept form.

Question

(0, 1), (1, -4)

Answer 1

First, we need to calculate the slope (m) of the line using the two given points (0, 1) and (1, -4):

m = (y2 - y1) / (x2 - x1)
m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5

Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b). Using the point (0, 1):

y = mx + b
1 = -5(0) + b
1 = b

Therefore, the equation of the line in slope-intercept form is:

y = -5x + 1