Answer: Y = 4x + 2
(It would be either the third or fourth choice since they are the same, one of them must be mistaken)
Step-by-step explanation:
Given information
(x₁, y₁) = (1, 6)
(x₂, y₂) = (0, 2)
Find the slope through the formula
[tex]Slope~=~\frac{y_2~-~y_1}{x_2~-~x_1}[/tex]
[tex]\Large Slope~=~\frac{2~-~6}{0~-~1}[/tex]
[tex]\Large Slope~=~\frac{-4}{-1}[/tex]
[tex]\Large Slope~=~4[/tex]
Substitute values into the linear form
Equation: y = mx + b
Point (0, 2)
y = mx + b
(2) = (4) (0) + b
2 = 0 + b
b = 2 - 0
b = 2
Therefore, the equation is [tex]\Large\boxed{y=4x+2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
