Math / Algebra

QuestionHan offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

Studdy Solution

STEP 1

1. The equation $y = mx + b$ is a linear equation in slope-intercept form.
2. We are solving for the variable $m$ , which represents the slope of the line.
3. The equation involves basic algebraic operations, specifically solving for a variable in terms of other variables.

STEP 2

1. Understand the structure of the equation.
2. Isolate the variable $m$ by performing algebraic operations.

STEP 3

The equation $y = mx + b$ is in the form of a linear equation, where: - $y$ is the dependent variable, - $m$ is the slope, - $x$ is the independent variable, - $b$ is the y-intercept.

STEP 4

To solve for $m$ , we need to isolate it on one side of the equation. Start by subtracting $b$ from both sides:
$y - b = mx$

STEP 5

Next, divide both sides of the equation by $x$ to solve for $m$ :
$m = \frac{y - b}{x}$
The solution for $m$ in terms of $y$ , $x$ , and $b$ is:
$m = \frac{y - b}{x}$

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QuestionHan offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

Studdy Solution

STEP 1

1. The equation $y = mx + b$ is a linear equation in slope-intercept form.
2. We are solving for the variable $m$ , which represents the slope of the line.
3. The equation involves basic algebraic operations, specifically solving for a variable in terms of other variables.

STEP 2

1. Understand the structure of the equation.
2. Isolate the variable $m$ by performing algebraic operations.

STEP 3

The equation $y = mx + b$ is in the form of a linear equation, where: - $y$ is the dependent variable, - $m$ is the slope, - $x$ is the independent variable, - $b$ is the y-intercept.

STEP 4

To solve for $m$ , we need to isolate it on one side of the equation. Start by subtracting $b$ from both sides:
$y - b = mx$

STEP 5

Next, divide both sides of the equation by $x$ to solve for $m$ :
$m = \frac{y - b}{x}$
The solution for $m$ in terms of $y$ , $x$ , and $b$ is:
$m = \frac{y - b}{x}$

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QuestionHan offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

Studdy Solution

STEP 1

1. The equation y=mx+b y = mx + b y=mx+b is a linear equation in slope-intercept form.2. We are solving for the variable m m m, which represents the slope of the line.3. The equation involves basic algebraic operations, specifically solving for a variable in terms of other variables.

STEP 2

1. Understand the structure of the equation.2. Isolate the variable m m m by performing algebraic operations.

STEP 3

The equation y=mx+b y = mx + b y=mx+b is in the form of a linear equation, where: - y y y is the dependent variable, - m m m is the slope, - x x x is the independent variable, - b b b is the y-intercept.

STEP 4

To solve for m m m, we need to isolate it on one side of the equation. Start by subtracting b b b from both sides:y−b=mx y - b = mx y−b=mx

STEP 5

Next, divide both sides of the equation by x x x to solve for m m m:m=y−bx m = \frac{y - b}{x} m=xy−b​ The solution for m m m in terms of y y y, x x x, and b b b is:m=y−bx m = \frac{y - b}{x} m=xy−b​

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The equation $y = mx + b$ is a linear equation in slope-intercept form.
2. We are solving for the variable $m$ , which represents the slope of the line.
3. The equation involves basic algebraic operations, specifically solving for a variable in terms of other variables.

1. Understand the structure of the equation.
2. Isolate the variable $m$ by performing algebraic operations.

The equation $y = mx + b$ is in the form of a linear equation, where: - $y$ is the dependent variable, - $m$ is the slope, - $x$ is the independent variable, - $b$ is the y-intercept.

To solve for $m$ , we need to isolate it on one side of the equation. Start by subtracting $b$ from both sides:
$y - b = mx$

Next, divide both sides of the equation by $x$ to solve for $m$ :
$m = \frac{y - b}{x}$
The solution for $m$ in terms of $y$ , $x$ , and $b$ is:
$m = \frac{y - b}{x}$