Slope Intercept Form: Write an Equation 1

Topics

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 6

1. Question
Find the equation of the line in slope intercept form.
- $y =$ $y=$ (1/2) $x +$ $x+$ (1)
Hint

Help Video
Correct

Well Done!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

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

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(- 2, 0)$ $(-2,0)$ rise up $1$ $1$ unit, then run $2$ $2$ units to the right to reach $(0, 1)$ $(0,1)$

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

$m = \frac{1}{2}$ $m=1/2$

Next, find the y-intercept by finding the point where the line cuts the y-axis.

$b = 1$ $b=1$

Slot $m$ $m$ and $b$ $b$ into the slope-intercept form.

$y$ $y$ $=$ $=$ $m$ $m$ $x +$ $x+$ $b$ $b$

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

$y = \frac{1}{2} x + 1$ $y=1/2x +1$
Question 2 of 6

2. Question
Find the equation of the line in slope intercept form.
- $y =$ $y=$ (-3/2) $x +$ $x+$ (3)
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

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

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(0, 3)$ $(0,3)$ go down $3$ $3$ units, then run $2$ $2$ units to the right to reach $(2, 0)$ $(2,0)$

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

$m = - \frac{3}{2}$ $m=-3/2$

Next, find the y-intercept by finding the point where the line cuts the y-axis.

$b = 3$ $b=3$

Slot $m$ $m$ and $b$ $b$ into the slope-intercept form.

$y$ $y$ $=$ $=$ $m$ $m$ $x +$ $x+$ $b$ $b$

$y$ $y$ $=$ $=$ $- \frac{3}{2}$ $-3/2$ $x +$ $x+$ $3$ $3$

$y = - \frac{3}{2} x + 3$ $y=-3/2x +3$
Question 3 of 6

3. Question
Find the equation of the line in slope intercept form.
- $y =$ $y=$ (1/2) $x +$ $x+$ (0)
Correct

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

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

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(0, 0)$ $(0,0)$ rise up $1$ $1$ unit, then run $2$ $2$ units to the right to reach $(2, 1)$ $(2,1)$

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

$m = \frac{1}{2}$ $m=1/2$

Next, find the y-intercept by finding the point where the line cuts the y-axis. The line passes through the origin.

$b = 0$ $b=0$

Slot $m$ $m$ and $b$ $b$ into the slope-intercept form.

$y$ $y$ $=$ $=$ $m$ $m$ $x +$ $x+$ $b$ $b$

$y$ $y$ $=$ $=$ $\frac{1}{2}$ $1/2$ $x +$ $x+$ $0$ $0$

$y$ $y$ $=$ $=$ $\frac{1}{2}$ $1/2$ $x$ $x$

$y = \frac{1}{2} x$ $y=1/2x$
Question 4 of 6

4. Question
Find the equation of the line in slope intercept form.
- $y=$ (10/3) $x+$ (-5)
Correct

Keep Going!
Incorrect
Slope Intercept Form: $y=$ $m$ $x+$ $b$

$m$ is the slope of the line

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(0,-5)$ rise up $10$ units, then run $3$ units to the right to reach $(3,5)$

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

$m=10/3$

Next, find the y-intercept by finding the point where the line cuts the y-axis.

$b=-5$

Slot $m$ and $b$ into the slope-intercept form.

$y$ $=$ $m$ $x+$ $b$

$y$ $=$ $10/3$ $x+($ $-5$ $)$

$y$ $=$ $10/3$ $x$ $-5$

$y=10/3x -5$
Question 5 of 6

5. Question
Find the equation of the line in slope intercept form.
- $y=$ (-2/3) $x+$ (-2)
Correct

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

$m$ is the slope of the line

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(0,-2)$ rise up $2$ units, then run $3$ units to the left to reach $(-3,0)$

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

$m=-2/3$

Next, find the y-intercept by finding the point where the line cuts the y-axis.

$b=-2$

Slot $m$ and $b$ into the slope-intercept form.

$y$ $=$ $m$ $x+$ $b$

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

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

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

6. Question
Find the equation of the line in slope intercept form.
- $y=$ (-3) $x+$ (2)
Correct

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

$m$ is the slope of the line

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

First, find the slope of the line.

The slope is equivalent to the rise over the run.

From $(0,2)$ go down $3$ units, then run $1$ unit to the right to reach $(1,-1)$

$m=\frac{\color{#9a00c7}{rise}}{\color{#00880a}{run}}=\frac{\color{#9a00c7}{-3}}{\color{#00880a}{1}}$

$m=-3$

Next, find the y-intercept by finding the point where the line cuts the y-axis.

$b=2$

Slot $m$ and $b$ into the slope-intercept form.

$y$ $=$ $m$ $x+$ $b$

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

$y=-3x +2$

Slope Intercept Form: Write an Equation 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Well Done!

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

2. Question

Great Work!

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

3. Question

Correct!

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

4. Question

Keep Going!

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

5. Question

Fantastic!

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

6. Question

Exceptional!

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

Quizzes

$y$ $y$	$=$ $=$	$m$ $m$ $x +$ $x+$ $b$ $b$

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

$y$	$=$	$m$ $x+$ $b$

$y$	$=$	$10/3$ $x+($ $-5$ $)$

$y$	$=$	$10/3$ $x$ $-5$

$y$	$=$	$m$ $x+$ $b$

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

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

Slope Intercept Form: Write an Equation 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Well Done!

Slope Intercept Form: y=y=y=mmmx+x+x+bbb

2. Question

Great Work!

Slope Intercept Form: y=y=y=mmmx+x+x+bbb

3. Question

Correct!

Slope Intercept Form: y=y=y=mmmx+x+x+bbb

4. Question

Keep Going!

Slope Intercept Form: y=y=mmx+x+bb

5. Question

Fantastic!

Slope Intercept Form: y=y=mmx+x+bb

6. Question

Exceptional!

Slope Intercept Form: y=y=mmx+x+bb

Quizzes

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

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

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

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

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

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