Question

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

Answer 1

First, find the slope of the line using the formula:

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

Using the points (0,-4) and (1,-1):

m = (-1 - (-4)) / (1 - 0)
m = 3 / 1
m = 3

Next, use the slope-intercept form of a linear equation, y = mx + b, and substitute the slope (m) and one of the points (0,-4) into the equation to solve for the y-intercept (b):

-4 = 3(0) + b
-4 = 0 + b
b = -4

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

y = 3x - 4