Math / Algebra

QuestionWrite an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

Studdy Solution

STEP 1

1. We need to write an equation of a line.
2. The line has a slope of $\frac{1}{4}$ .
3. The line has a $y$ -intercept of 3.
4. The equation should be in slope-intercept form.

STEP 2

1. Understand the slope-intercept form.
2. Identify the given slope and $y$ -intercept.
3. Substitute the values into the slope-intercept form equation.
4. Write the final equation.

STEP 3

Understand the slope-intercept form.
The slope-intercept form of a line is given by the equation: $y = mx + b$ where $m$ is the slope and $b$ is the $y$ -intercept.

STEP 4

Identify the given slope and $y$ -intercept.
The given slope $m$ is $\frac{1}{4}$ and the $y$ -intercept $b$ is 3.

STEP 5

Substitute the values into the slope-intercept form equation.
Replace $m$ with $\frac{1}{4}$ and $b$ with 3 in the equation $y = mx + b$ .
$y = \frac{1}{4}x + 3$

STEP 6

Write the final equation.
The equation of the line in slope-intercept form is: $y = \frac{1}{4}x + 3$

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QuestionWrite an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

Studdy Solution

STEP 1

1. We need to write an equation of a line.
2. The line has a slope of $\frac{1}{4}$ .
3. The line has a $y$ -intercept of 3.
4. The equation should be in slope-intercept form.

STEP 2

1. Understand the slope-intercept form.
2. Identify the given slope and $y$ -intercept.
3. Substitute the values into the slope-intercept form equation.
4. Write the final equation.

STEP 3

Understand the slope-intercept form.
The slope-intercept form of a line is given by the equation: $y = mx + b$ where $m$ is the slope and $b$ is the $y$ -intercept.

STEP 4

Identify the given slope and $y$ -intercept.
The given slope $m$ is $\frac{1}{4}$ and the $y$ -intercept $b$ is 3.

STEP 5

Substitute the values into the slope-intercept form equation.
Replace $m$ with $\frac{1}{4}$ and $b$ with 3 in the equation $y = mx + b$ .
$y = \frac{1}{4}x + 3$

STEP 6

Write the final equation.
The equation of the line in slope-intercept form is: $y = \frac{1}{4}x + 3$

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QuestionWrite an equation in slope-intercept form for the line with slope 14\frac{1}{4}41​ and yyy-intercept 3 .

Studdy Solution

STEP 1

1. We need to write an equation of a line.2. The line has a slope of 14 \frac{1}{4} 41​.3. The line has a y y y-intercept of 3.4. The equation should be in slope-intercept form.

STEP 2

1. Understand the slope-intercept form.2. Identify the given slope and y y y-intercept.3. Substitute the values into the slope-intercept form equation.4. Write the final equation.

STEP 3

Understand the slope-intercept form.The slope-intercept form of a line is given by the equation: y=mx+b y = mx + b y=mx+b where m m m is the slope and b b b is the y y y-intercept.

STEP 4

Identify the given slope and y y y-intercept.The given slope m m m is 14 \frac{1}{4} 41​ and the y y y-intercept b b b is 3.

STEP 5

Substitute the values into the slope-intercept form equation.Replace m m m with 14 \frac{1}{4} 41​ and b b b with 3 in the equation y=mx+b y = mx + b y=mx+b.y=14x+3 y = \frac{1}{4}x + 3 y=41​x+3

STEP 6

Write the final equation.The equation of the line in slope-intercept form is: y=14x+3 y = \frac{1}{4}x + 3 y=41​x+3

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QuestionWrite an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

1. We need to write an equation of a line.
2. The line has a slope of $\frac{1}{4}$ .
3. The line has a $y$ -intercept of 3.
4. The equation should be in slope-intercept form.

1. Understand the slope-intercept form.
2. Identify the given slope and $y$ -intercept.
3. Substitute the values into the slope-intercept form equation.
4. Write the final equation.

Understand the slope-intercept form.
The slope-intercept form of a line is given by the equation: $y = mx + b$ where $m$ is the slope and $b$ is the $y$ -intercept.

Identify the given slope and $y$ -intercept.
The given slope $m$ is $\frac{1}{4}$ and the $y$ -intercept $b$ is 3.

Substitute the values into the slope-intercept form equation.
Replace $m$ with $\frac{1}{4}$ and $b$ with 3 in the equation $y = mx + b$ .
$y = \frac{1}{4}x + 3$

Write the final equation.
The equation of the line in slope-intercept form is: $y = \frac{1}{4}x + 3$