QuestionFind the $y$ -coordinate for the line $x = 2y + 1$ when $x = -1$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $x =y +1$ . The x-coordinate of the point we are looking for is -1

STEP 2

We need to find the y-coordinate of the point on the line. We can do this by substituting the x-coordinate into the equation of the line and solving for y.
$x =2y +1$

STEP 3

Now, plug in the given value for the x-coordinate to find the y-coordinate.
$-1 =2y +1$

STEP 4

To isolate y, we need to subtract1 from both sides of the equation.
$-1 -1 =2y +1 -1$

STEP 5

implify the equation.
$-2 =2y$

STEP 6

To solve for y, we need to divide both sides of the equation by2.
$-2 /2 =2y /2$

STEP 7

Calculate the y-coordinate.
$-1 = y$ The y-coordinate of the point on the line $x =2y +1$ with an x-coordinate of -1 is -1.

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QuestionFind the $y$ -coordinate for the line $x = 2y + 1$ when $x = -1$ .

Studdy Solution

STEP 1

Assumptions1. The equation of the line is $x =y +1$ . The x-coordinate of the point we are looking for is -1

STEP 2

We need to find the y-coordinate of the point on the line. We can do this by substituting the x-coordinate into the equation of the line and solving for y.
$x =2y +1$

STEP 3

Now, plug in the given value for the x-coordinate to find the y-coordinate.
$-1 =2y +1$

STEP 4

To isolate y, we need to subtract1 from both sides of the equation.
$-1 -1 =2y +1 -1$

STEP 5

implify the equation.
$-2 =2y$

STEP 6

To solve for y, we need to divide both sides of the equation by2.
$-2 /2 =2y /2$

STEP 7

Calculate the y-coordinate.
$-1 = y$ The y-coordinate of the point on the line $x =2y +1$ with an x-coordinate of -1 is -1.

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QuestionFind the yyy-coordinate for the line x=2y+1x = 2y + 1x=2y+1 when x=−1x = -1x=−1.

Studdy Solution

STEP 1

Assumptions1. The equation of the line is x=y+1x =y +1x=y+1 . The x-coordinate of the point we are looking for is -1

STEP 2

We need to find the y-coordinate of the point on the line. We can do this by substituting the x-coordinate into the equation of the line and solving for y.x=2y+1x =2y +1x=2y+1

STEP 3

Now, plug in the given value for the x-coordinate to find the y-coordinate.−1=2y+1-1 =2y +1−1=2y+1

STEP 4

To isolate y, we need to subtract1 from both sides of the equation.−1−1=2y+1−1-1 -1 =2y +1 -1−1−1=2y+1−1

STEP 5

implify the equation.−2=2y-2 =2y−2=2y

STEP 6

To solve for y, we need to divide both sides of the equation by2.−2/2=2y/2-2 /2 =2y /2−2/2=2y/2

STEP 7

Calculate the y-coordinate.−1=y-1 = y−1=yThe y-coordinate of the point on the line x=2y+1x =2y +1x=2y+1 with an x-coordinate of -1 is -1.

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QuestionFind the $y$ -coordinate for the line $x = 2y + 1$ when $x = -1$ .

Assumptions1. The equation of the line is $x =y +1$ . The x-coordinate of the point we are looking for is -1

We need to find the y-coordinate of the point on the line. We can do this by substituting the x-coordinate into the equation of the line and solving for y.
$x =2y +1$

Now, plug in the given value for the x-coordinate to find the y-coordinate.
$-1 =2y +1$

To isolate y, we need to subtract1 from both sides of the equation.
$-1 -1 =2y +1 -1$

implify the equation.
$-2 =2y$

To solve for y, we need to divide both sides of the equation by2.
$-2 /2 =2y /2$

Calculate the y-coordinate.
$-1 = y$ The y-coordinate of the point on the line $x =2y +1$ with an x-coordinate of -1 is -1.