Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Rewrite the following equation in standard form. $\newline$ $y = 3x + 9$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .

View step-by-step help

View step-by-step help

Write linear equations in standard form

Full solution

Q. Rewrite the following equation in standard form.

\newline

y = 3x + 9

\newline

Hint: The standard form of a linear equation is

Ax + By = C

where

A

and

B

are not both zero, and

A

,

B

, and

C

are integers whose GCF is

1

.

Identify Equation and Form: Identify the given equation and the desired form. $\newline$ The given equation is $y = 3x + 9$ , and we want to rewrite it in the standard form $Ax + By = C$ .
Move Term Involving $x$ : Move the term involving $x$ to the other side of the equation. $\newline$ To do this, we subtract $3x$ from both sides of the equation to get $-3x + y = 9$ .
Check Coefficients and GCF: Check if the coefficients are integers and their greatest common factor (GCF) is $1$ . $\newline$ The coefficients in the equation $-3x + y = 9$ are $-3$ , $1$ , and $9$ . The GCF of these numbers is $1$ .
Write Final Equation: Write the final equation in standard form. $\newline$ The equation $-3x + y = 9$ is already in standard form, with $A = -3$ , $B = 1$ , and $C = 9$ .

More problems from Write linear equations in standard form

Question

(0, 4)

satisfy the equation

y = x

?

Posted 7 months ago

Question

Find the slope of the line

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

Posted 7 months ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

Posted 7 months ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or decimal or fraction, not as an ordered pair.

Posted 7 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

Posted 7 months ago

Question

Find the slope of the line

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

\newline

Posted 7 months 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.

Posted 7 months ago

Question

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

\newline

x = 7

Posted 7 months ago

Question

Determine the standard form of the following equation:

\newline

y = -10x + 7

Posted 7 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

Posted 7 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant