Math / Algebra

QuestionWhat is an equation of a linear function with a slope of -5 and $y$ -intercept of $7 ?$ $y=\frac{-5}{7} x$ $y=7 x-5$ $y=-5 x+7$

Studdy Solution

STEP 1

1. We need to find the equation of a linear function.
2. The slope of the linear function is given as $-5$ .
3. The $y$ -intercept of the linear function is given as $7$ .
4. The general form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.

STEP 2

1. Identify the components of the linear equation.
2. Substitute the given values into the linear equation.
3. Write the final equation.

STEP 3

Identify the components of the linear equation. We know that: - The slope $m = -5$ - The $y$ -intercept $b = 7$

STEP 4

Substitute the given values into the linear equation $y = mx + b$ .
Substitute $m = -5$ and $b = 7$ into the equation:
$y = -5x + 7$

STEP 5

Write the final equation of the linear function.
The equation of the linear function is:
$y = -5x + 7$

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QuestionWhat is an equation of a linear function with a slope of -5 and $y$ -intercept of $7 ?$ $y=\frac{-5}{7} x$ $y=7 x-5$ $y=-5 x+7$

Studdy Solution

STEP 1

1. We need to find the equation of a linear function.
2. The slope of the linear function is given as $-5$ .
3. The $y$ -intercept of the linear function is given as $7$ .
4. The general form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.

STEP 2

1. Identify the components of the linear equation.
2. Substitute the given values into the linear equation.
3. Write the final equation.

STEP 3

Identify the components of the linear equation. We know that: - The slope $m = -5$ - The $y$ -intercept $b = 7$

STEP 4

Substitute the given values into the linear equation $y = mx + b$ .
Substitute $m = -5$ and $b = 7$ into the equation:
$y = -5x + 7$

STEP 5

Write the final equation of the linear function.
The equation of the linear function is:
$y = -5x + 7$

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QuestionWhat is an equation of a linear function with a slope of -5 and yyy-intercept of 7?7 ?7? y=−57xy=\frac{-5}{7} xy=7−5​x y=7x−5y=7 x-5y=7x−5 y=−5x+7y=-5 x+7y=−5x+7

Studdy Solution

STEP 1

1. We need to find the equation of a linear function.2. The slope of the linear function is given as −5-5−5.3. The yyy-intercept of the linear function is given as 777.4. The general form of a linear equation is y=mx+by = mx + by=mx+b, where mmm is the slope and bbb is the yyy-intercept.

STEP 2

1. Identify the components of the linear equation.2. Substitute the given values into the linear equation.3. Write the final equation.

STEP 3

Identify the components of the linear equation. We know that: - The slope m=−5m = -5m=−5 - The yyy-intercept b=7b = 7b=7

STEP 4

Substitute the given values into the linear equation y=mx+by = mx + by=mx+b.Substitute m=−5m = -5m=−5 and b=7b = 7b=7 into the equation:y=−5x+7 y = -5x + 7 y=−5x+7

STEP 5

Write the final equation of the linear function.The equation of the linear function is:y=−5x+7 y = -5x + 7 y=−5x+7

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QuestionWhat is an equation of a linear function with a slope of -5 and $y$ -intercept of $7 ?$ $y=\frac{-5}{7} x$ $y=7 x-5$ $y=-5 x+7$

1. We need to find the equation of a linear function.
2. The slope of the linear function is given as $-5$ .
3. The $y$ -intercept of the linear function is given as $7$ .
4. The general form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.

1. Identify the components of the linear equation.
2. Substitute the given values into the linear equation.
3. Write the final equation.

Identify the components of the linear equation. We know that: - The slope $m = -5$ - The $y$ -intercept $b = 7$

Substitute the given values into the linear equation $y = mx + b$ .
Substitute $m = -5$ and $b = 7$ into the equation:
$y = -5x + 7$

Write the final equation of the linear function.
The equation of the linear function is:
$y = -5x + 7$