Convert Standard Form and Slope Intercept Form 2

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Question 1 of 6

1. Question
Convert this equation to Slope Intercept Form.

$10x+3y=2$
- 1. $y=-13x+2/3$
- 2. $y=-10x+2$
- 3. $y=-10/3x+2/3$
- 4. $y=-3x+2/3$
Hint

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Incorrect
Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

$color(tomato)(m)$ is the slope of the line

$color(blue)(b)$ is the y-intercept (where the line cuts the y-axis)

First, make sure the $y$ -term is alone on the left side.

$10x+3y$ $=$ $2$

$10x+3y color(red)(-10x)$ $=$ $2 color(red)(-10x)$ Subtract $10x$ from both sides

$3y$ $=$ $2-10x$

$3y$ $=$ $-10x+2$ Rearrange

Next, divide both sides by $3$ so that only $y$ remains on the left side.

$3y$ $=$ $-10x+2$

$3y color(red)(-:3)$ $=$ $(-10x+2) color(red)(-:3)$ Divide both sides by $3$

$y$ $=$ $-10/3x+2/3$

$y=-10/3x+2/3$
Question 2 of 6

2. Question
Convert this equation to Gradient Intercept Form.

$3x-y=3$
- 1. $y=3x-3$
- 2. $y=-3x+3$
- 3. $y=3x+3$
- 4. $y=-3x-3$
Correct

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Incorrect
Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

$color(tomato)(m)$ is the gradient of the line

$color(blue)(b)$ is the y-intercept (where the line cuts the y-axis)

First, make sure the $y$ -term is alone on the left side.

$3x-y$ $=$ $3$

$3x-y color(red)(-3x)$ $=$ $3 color(red)(-3x)$ Subtract $3x$ from both sides

$-y$ $=$ $3-3x$

$-y$ $=$ $-3x+3$ Rearrange

Next, divide both sides by $-1$ so that only $y$ remains on the left side.

$-y$ $=$ $-3x+3$

$-y color(red)(-: -1)$ $=$ $(-3x+3) color(red)(-: -1)$ Divide both sides by $-1$

$y$ $=$ $3x-3$

$y=3x-3$
Question 3 of 6

3. Question
Convert this equation to Slope Intercept Form.

$5x-6y=2$
- 1. $y=5x+1/3$
- 2. $y=5/3x-1/3$
- 3. $y=5/6x-1/6$
- 4. $y=5/6x-1/3$
Hint

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Incorrect
Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

$color(tomato)(m)$ is the slope of the line

$color(blue)(b)$ is the y-intercept (where the line cuts the y-axis)

First, make sure the $y$ -term is alone on the left side.

$5x-6y$ $=$ $2$

$5x-6y color(red)(-5x)$ $=$ $2 color(red)(-5x)$ Subtract $5x$ from both sides

$-6y$ $=$ $2-5x$

$-6y$ $=$ $-5x+2$ Rearrange

Next, divide both sides by $-6$ so that only $y$ remains on the left side.

$-6y$ $=$ $-5x+2$

$-6y color(red)(-: -6)$ $=$ $(-5x+2) color(red)(-: -6)$ Divide both sides by $-6$

$y$ $=$ $5/6x-1/3$

$y=5/6x-1/3$

Question 4 of 6

Change the following into standard form.

$y=(2/5)x -3$

(2x-5y-15=0)

Question 5 of 6

5. Question
Convert this equation to Slope Intercept Form.

$4x+2y=8$
- 1. $y=2x-4$
- 2. $y=-2x+4$
- 3. $y=-2x-4$
- 4. $y=2x+4$
Correct

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Incorrect
Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

$color(tomato)(m)$ is the slope of the line

$color(blue)(b)$ is the y-intercept (where the line cuts the y-axis)

First, make sure the $y$ -term is alone on the left side.

$4x+2y$ $=$ $8$

$4x+2y color(red)(-4x)$ $=$ $8 color(red)(-4x)$ Subtract $4x$ from both sides

$2y$ $=$ $8-4x$

$2y$ $=$ $-4x+8$ Rearrange

Next, divide both sides by $2$ so that only $y$ remains on the left side.

$2y$ $=$ $-4x+8$

$2y color(red)(-:2)$ $=$ $(-4x+8) color(red)(-:2)$ Divide both sides by $2$

$y$ $=$ $-2x+4$

$y=-2x+4$
Question 6 of 6

6. Question
Convert this equation to Slope Intercept Form.

$3x-5y=-6$
- 1. $y=-3x+6/5$
- 2. $y=3/5x+6/5$
- 3. $y=-3/5x+6$
- 4. $y=3/5x-6/5$
Correct

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Incorrect
Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

$color(tomato)(m)$ is the slope of the line

$color(blue)(b)$ is the y-intercept (where the line cuts the y-axis)

First, make sure the $y$ -term is alone on the left side.

$3x-5y$ $=$ $-6$

$3x-5y color(red)(-3x)$ $=$ $-6 color(red)(-3x)$ Subtract $3x$ from both sides

$-5y$ $=$ $-6-3x$

$-5y$ $=$ $-3x-6$ Rearrange

Next, divide both sides by $-5$ so that only $y$ remains on the left side.

$-5y$ $=$ $-3x-6$

$-5y color(red)(-:-5)$ $=$ $(-3x-6) color(red)(-:-5)$ Divide both sides by $-5$

$y$ $=$ $3/5x+6/5$

$y=3/5x+6/5$

$y$	$=$	$2/5x -3$

$y$ $xx 5$	$=$	$(2/5x-3)$ $xx 5$

$5y$	$=$	$2x-15$	Distribute $5$ inside the parenthesis
$5y$ $-5y$	$=$	$2x-15$ $-5y$	Subtract $5y$ from both sides
$0$	$=$	$2x-5y-15$
$2x-5y-15$	$=$	$0$	Interchange the sides

Convert Standard Form and Slope Intercept Form 2

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Quiz summary

Information

1. Question

Hint

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Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

2. Question

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Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

3. Question

Hint

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Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

4. Question

Hint

Nice Job!

General Formula

5. Question

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Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

6. Question

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Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

Quizzes

$10x+3y$	$=$	$2$
$10x+3y color(red)(-10x)$	$=$	$2 color(red)(-10x)$	Subtract $10x$ from both sides
$3y$	$=$	$2-10x$
$3y$	$=$	$-10x+2$	Rearrange

$3y$	$=$	$-10x+2$
$3y color(red)(-:3)$	$=$	$(-10x+2) color(red)(-:3)$	Divide both sides by $3$
$y$	$=$	$-10/3x+2/3$

$3x-y$	$=$	$3$
$3x-y color(red)(-3x)$	$=$	$3 color(red)(-3x)$	Subtract $3x$ from both sides
$-y$	$=$	$3-3x$
$-y$	$=$	$-3x+3$	Rearrange

$-y$	$=$	$-3x+3$
$-y color(red)(-: -1)$	$=$	$(-3x+3) color(red)(-: -1)$	Divide both sides by $-1$
$y$	$=$	$3x-3$

$5x-6y$	$=$	$2$
$5x-6y color(red)(-5x)$	$=$	$2 color(red)(-5x)$	Subtract $5x$ from both sides
$-6y$	$=$	$2-5x$
$-6y$	$=$	$-5x+2$	Rearrange

$-6y$	$=$	$-5x+2$
$-6y color(red)(-: -6)$	$=$	$(-5x+2) color(red)(-: -6)$	Divide both sides by $-6$
$y$	$=$	$5/6x-1/3$

$4x+2y$	$=$	$8$
$4x+2y color(red)(-4x)$	$=$	$8 color(red)(-4x)$	Subtract $4x$ from both sides
$2y$	$=$	$8-4x$
$2y$	$=$	$-4x+8$	Rearrange

$2y$	$=$	$-4x+8$
$2y color(red)(-:2)$	$=$	$(-4x+8) color(red)(-:2)$	Divide both sides by $2$
$y$	$=$	$-2x+4$

$3x-5y$	$=$	$-6$
$3x-5y color(red)(-3x)$	$=$	$-6 color(red)(-3x)$	Subtract $3x$ from both sides
$-5y$	$=$	$-6-3x$
$-5y$	$=$	$-3x-6$	Rearrange

$-5y$	$=$	$-3x-6$
$-5y color(red)(-:-5)$	$=$	$(-3x-6) color(red)(-:-5)$	Divide both sides by $-5$
$y$	$=$	$3/5x+6/5$

Convert Standard Form and Slope Intercept Form 2

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Quiz summary

Information

1. Question

Hint

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Slope Intercept Form: y=mx+by= color(tomato)(m)x+color(blue)(b)

2. Question

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Slope Intercept Form: y=mx+by= color(tomato)(m)x+color(blue)(b)

3. Question

Hint

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Slope Intercept Form: y=mx+by= color(tomato)(m)x+color(blue)(b)

4. Question

Hint

Nice Job!

General Formula

5. Question

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Slope Intercept Form: y=mx+by= color(tomato)(m)x+color(blue)(b)

6. Question

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Slope Intercept Form: y=mx+by= color(tomato)(m)x+color(blue)(b)

Quizzes

Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$

Slope Intercept Form: $y= color(tomato)(m)x+color(blue)(b)$