QuestionCheck if the point $(1,2)$ is on the line defined by the equation $y=3x-2$ .

Studdy Solution

STEP 1

Assumptions1. The given point is $(1,)$ . The equation of the line is $y=3x-$

STEP 2

To verify if a point lies on a line, we substitute the x and y coordinates of the point into the equation of the line. If the equation is satisfied, then the point lies on the line.
So, we substitute $x=1$ and $y=2$ into the equation $y=x-2$ .

STEP 3

Substitute $x=1$ into the equation $y=3x-2$ .
$y =3(1) -2$

STEP 4

Calculate the value of $y$ .
$y =3 -2 =1$

STEP 5

Now, compare this calculated $y$ value with the $y$ coordinate of the given point. If they are equal, then the point lies on the line.
The $y$ coordinate of the given point is $2$ , but the calculated $y$ value is $1$ . Since these two values are not equal, the point $(1,2)$ does not lie on the line $y=3x-2$ .

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