Answer :
Answer:
yes
Step-by-step explanation:
To determine if (2, 5) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals y = 5, then it lies on the line.
3(2) - 1 = 6 - 1 = 5 ← equals the y- coordinate of the given point
Thus (2, 5 ) lies on the line y = 3x - 1
Calculating the point by putting the value into the given line:
Given:
Point: [tex]\bold{(2,5)}[/tex]
Line: [tex]\bold{ y=3x-1}[/tex]
To find:
Solution:
Point: [tex]\bold{(2,5)}[/tex]
[tex]\to \bold{x=2}\\\\\to \bold{y=5}\\\\[/tex]
Putting the point value into the given line equation:[tex]\to \bold{y=3x-1}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (equation) \\\\\to \bold{5=3(2)-1}\\\\\to \bold{5=6-1}\\\\\to \bold{5=5}\\\\[/tex]
Therefore, the final answer is "yes".
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