Question

Dertive the equation of the line in slope-intercept form. (0,1) and (1,-4)

Answer 1

1. Find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5

2. Use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (0,1):
y - 1 = -5(x - 0)
y - 1 = -5x

3. Rearrange the equation in slope-intercept form (y = mx + b):

y = -5x + 1

Therefore, the equation of the line in slope-intercept form is y = -5x + 1.