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Find the equation of straight line parallel to
y axis and at a distance of 2 units.

Find the equation of straight line parallel to $y$ axis and at a distance of $2$ units.

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Write a linear equation from a slope and y-intercept

Full solution

Q. Find the equation of straight line parallel to

y

axis and at a distance of

2

units.

Characteristics of y-axis line: Understand the characteristics of a line parallel to the y-axis. $\newline$ A line parallel to the y-axis is a vertical line. Vertical lines have an undefined slope and their equation is in the form of $x = \text{a constant value}$ . This constant value represents the distance from the y-axis.
Determine constant value: Determine the constant value for the equation of the line. $\newline$ Since the line is at a distance of $2$ units from the $y$ -axis, the constant value will be the $x$ -coordinate of every point on the line. As the line is parallel to the $y$ -axis, this distance is the same for all points on the line.
Write line equation: Write the equation of the line. $\newline$ The equation of the line parallel to the y-axis and $2$ units away from it is $x = 2$ . This equation means that for any value of $y$ , the value of $x$ will always be $2$ .

More problems from Write a linear equation from a slope and y-intercept

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 2 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 1 month ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 1 month ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 1 month ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 1 month ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 2 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 2 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 1 month ago