The line passes through the points
(x₁,y₁) = (1,2)
(x₂,y₂) = (0,-1)
First, find the slope of the line
It could be determined using this following formula
m = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
m = [tex]\dfrac{-1-2}{0-1} [/tex]
m = [tex]\dfrac{-3}{-1} [/tex]
m = 3
Second, find the equation of the line using this following formula
y - y₁ = m(x - x₁)
plug in the numbers
y - 2 = 3(x - 1)
y - 2 = 3x - 3
y = 3x - 3 + 2
y = 3x - 1
The answer is option C
