Slope Intercept Form: Graph an Equation 1

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Question 1 of 8

1. Question
Graph $y = \frac{3}{2} x + 1$ $y=3/2x+1$
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Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = \frac{3}{2} x + 1$ $y=3/2x+1$

The slope $(m)$ $(m)$ is $\frac{3}{2}$ $3/2$ and the y-intercept $(b)$ $(b)$ is $1$ $1$ .

First, plot the y-intercept $(1)$ $(1)$

Use the slope $m = \frac{3}{2}$ $m=3/2$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{3}}{\color{#00880a}{2}}$

From the y-intercept rise $3$ $3$ units, then run $2$ $2$ units to the right

Now we can graph the equation
Question 2 of 8

2. Question
Graph $y = \frac{2}{5} x - 3$ $y=2/5x-3$
- 1.
- 2.
- 3.
- 4.
Correct

Fantastic!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = \frac{2}{5} x - 3$ $y=2/5x-3$

The slope $(m)$ $(m)$ is $\frac{2}{5}$ $2/5$ and the y-intercept $(b)$ $(b)$ is $- 3$ $-3$ .

First, plot the y-intercept $(- 3)$ $(-3)$

Use the slope $m = \frac{2}{5}$ $m=2/5$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{2}}{\color{#00880a}{5}}$

From the y-intercept rise $2$ $2$ units, then run $5$ $5$ units to the right

Now we can graph the equation
Question 3 of 8

3. Question
Graph $y = \frac{10}{3} x + 5$ $y=10/3x+5$
- 1.
- 2.
- 3.
- 4.
Correct

Excellent!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = \frac{10}{3} x + 5$ $y=10/3x+5$

The slope $(m)$ $(m)$ is $\frac{10}{3}$ $10/3$ and the y-intercept $(b)$ $(b)$ is $5$ $5$ .

First, plot the y-intercept $(5)$ $(5)$

Use the slope $m = \frac{10}{3}$ $m=10/3$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{10}}{\color{#00880a}{3}}$

From the y-intercept rise $10$ $10$ units, then run $3$ $3$ units to the right

Now we can graph the equation
Question 4 of 8

4. Question
Graph $y = - 4 x - 3$ $y=-4x-3$
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- 2.
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- 4.
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English
Chapters
Chapters

Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = - 4 x - 3$ $y=-4x-3$

The slope $(m)$ $(m)$ is $- 4$ $-4$ or $- \frac{4}{1}$ $-4/1$ and the y-intercept $(b)$ $(b)$ is $- 3$ $-3$ .

First, plot the y-intercept $(- 3)$ $(-3)$

Use the slope $m = - 4$ $m=-4$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{-4}}{\color{#00880a}{1}}$

From the y-intercept move down $4$ $4$ units, then run $1$ $1$ unit to the right

Now we can graph the equation
Question 5 of 8

5. Question
Graph $y = - \frac{1}{2} x + 4$ $y=-1/2x+4$
- 1.
- 2.
- 3.
- 4.
Hint
Correct

Well Done!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = - \frac{1}{2} x + 4$ $y=-1/2x+4$

The slope $(m)$ $(m)$ is $- \frac{1}{2}$ $-1/2$ and the y-intercept $(b)$ $(b)$ is $4$ $4$ .

First, plot the y-intercept $(4)$ $(4)$

Use the slope $m = - \frac{1}{2}$ $m=-1/2$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{-1}}{\color{#00880a}{2}}$

From the y-intercept move down $1$ $1$ unit, then run $2$ $2$ units to the right

Now we can graph the equation
Question 6 of 8

6. Question
Graph $y = - 5 x + 2$ $y=-5x+2$
- 1.
- 2.
- 3.
- 4.
Hint
Correct

Correct!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = - 5 x + 2$ $y=-5x+2$

The slope $(m)$ $(m)$ is $- 5$ $-5$ and the y-intercept $(b)$ $(b)$ is $2$ $2$ .

First, plot the y-intercept $(2)$ $(2)$

Use the slope $m = - 5$ $m=-5$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{-5}}{\color{#00880a}{1}}$

From the y-intercept go down $5$ $5$ units, then run $1$ $1$ unit to the right

Now we can graph the equation
Question 7 of 8

7. Question
Graph $y = - 4 + 6 x$ $y=-4+6x$
- 1.
- 2.
- 3.
- 4.
Correct

Fantastic!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = - 4 + 6 x$ $y=-4+6x$

The slope $(m)$ $(m)$ is $6$ $6$ and the y-intercept $(b)$ $(b)$ is $- 4$ $-4$ .

First, plot the y-intercept $(- 4)$ $(-4)$

Use the slope $m = 6$ $m=6$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{6}}{\color{#00880a}{1}}$

From the y-intercept rise $6$ $6$ units, then run $1$ $1$ unit to the right

Now we can graph the equation
Question 8 of 8

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

Nice Job!
Incorrect
Slope Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the slope of the line

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

For: $y = - 4 - 4 x$ $y=-4-4x$

The slope $(m)$ $(m)$ is $- 4$ $-4$ and the y-intercept $(b)$ $(b)$ is $- 4$ $-4$ .

First, plot the y-intercept $(- 4)$ $(-4)$

Use the slope $m = - 4$ $m=-4$ to plot the next point.

The slope is equivalent to the rise over the run.

$\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{-4}}{\color{#00880a}{1}}$

From the y-intercept go down $4$ $4$ units, then run $1$ $1$ unit to the right

Now we can graph the equation

Slope Intercept Form: Graph an Equation 1

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Quiz summary

Information

1. Question

Hint

Keep Going!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

2. Question

Fantastic!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

3. Question

Excellent!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

4. Question

Nice Job!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

5. Question

Hint

Well Done!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

6. Question

Hint

Correct!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

7. Question

Fantastic!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

8. Question

Nice Job!

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Quizzes

Slope Intercept Form: Graph an Equation 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Keep Going!

Slope Intercept Form: y=mx+by=mx+by=mx+b

2. Question

Fantastic!

Slope Intercept Form: y=mx+by=mx+by=mx+b

3. Question

Excellent!

Slope Intercept Form: y=mx+by=mx+by=mx+b

4. Question

Nice Job!

Slope Intercept Form: y=mx+by=mx+by=mx+b

5. Question

Hint

Well Done!

Slope Intercept Form: y=mx+by=mx+by=mx+b

6. Question

Hint

Correct!

Slope Intercept Form: y=mx+by=mx+by=mx+b

7. Question

Fantastic!

Slope Intercept Form: y=mx+by=mx+by=mx+b

8. Question

Nice Job!

Slope Intercept Form: y=mx+by=mx+by=mx+b

Quizzes

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$

Slope Intercept Form: $y = m x + b$ $y=mx+b$