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!! :)
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Answer:
y = 4x+2
Step-by-step explanation:
The first step is to find the slope
m = ( y2-y1)/(x2-x1)
m = ( 2-6)/(0-1)
= -4/-1
= 4
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
The y intercept is where x is equal to 0
The y intercept is 2
y = 4x+2
