Respuesta :
Answer:
The answer is D
Step-by-step explanation:
The only logical explanation
Equation of the graphed line passing through the points (0, - 4) and (2, 2) is equals to [tex]y = 3x - 4[/tex].
What is coordinate plane?
" Coordinate plane is defined as the two dimensional plane formed by number line named x-axis and y-axis."
Formula used
Standard equation of the line
[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question,
Points passing through coordinate plane,
[tex](x_{1} ,y_{1} ) = (0,-4)\\\\(x_{2} ,y_{2} ) = (2,2)[/tex]
Substitute the coordinates in the formula to get the equation of line ,
[tex]\frac{y-(-4) }{x-0 } =\frac{2-(-4) }{2-0}[/tex]
⇒ [tex]\frac{y+4 }{x } =\frac{6 }{2}[/tex]
⇒[tex]y + 4= 3x[/tex]
⇒[tex]y=3x-4[/tex]
Hence, the equation of the line is [tex]y=3x-4[/tex].
Learn more about coordinate plane here
https://brainly.com/question/13611766
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