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Gradient Intercept Form: Graph an Equation>
Gradient Intercept Form: Graph an Equation 1Gradient Intercept Form: Graph an Equation 1
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Question 1 of 8
1. Question
Graph `y=3/2x+1`Hint
Help VideoCorrect
Keep Going!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=3/2x+1`The gradient `(m)` is `3/2` and the y-intercept `(b)` is `1`.First, plot the y-intercept `(1)`
Use the gradient `m=3/2` to plot the next point.The gradient 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` units, then run `2` units to the right
Now we can graph the equation
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Question 2 of 8
2. Question
Graph `y=2/5x-3`Correct
Fantastic!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=2/5x-3`The gradient `(m)` is `2/5` and the y-intercept `(b)` is `-3`.First, plot the y-intercept `(-3)`
Use the gradient `m=2/5` to plot the next point.The gradient 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` units, then run `5` units to the right
Now we can graph the equation
-
Question 3 of 8
3. Question
Graph `y=10/3x+5`Correct
Excellent!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=10/3x+5`The gradient `(m)` is `10/3` and the y-intercept `(b)` is `5`.First, plot the y-intercept `(5)`
Use the gradient `m=10/3` to plot the next point.The gradient 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` units, then run `3` units to the right
Now we can graph the equation
-
Question 4 of 8
4. Question
Graph `y=-4x-3`Correct
Nice Job!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=-4x-3`The gradient `(m)` is `-4` or `-4/1` and the y-intercept `(b)` is `-3`.First, plot the y-intercept `(-3)`
Use the gradient `m=-4` to plot the next point.The gradient 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` units, then run `1` unit to the right
Now we can graph the equation
-
Question 5 of 8
5. Question
Graph `y=-1/2x+4`Hint
Correct
Well Done!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=-1/2x+4`The gradient `(m)` is `-1/2` and the y-intercept `(b)` is `4`.First, plot the y-intercept `(4)`
Use the gradient `m=-1/2` to plot the next point.The gradient 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` unit, then run `2` units to the right
Now we can graph the equation
-
Question 6 of 8
6. Question
Graph `y=-5x+2`Hint
Correct
Correct!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=-5x+2`The gradient `(m)` is `-5` and the y-intercept `(b)` is `2`.First, plot the y-intercept `(2)`
Use the gradient `m=-5` to plot the next point.The gradient 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` units, then run `1` unit to the right
Now we can graph the equation
-
Question 7 of 8
7. Question
Graph `y=-4+6x`Correct
Fantastic!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=-4+6x`The gradient `(m)` is `6` and the y-intercept `(b)` is `-4`.First, plot the y-intercept `(-4)`
Use the gradient `m=6` to plot the next point.The gradient 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` units, then run `1` unit to the right
Now we can graph the equation
-
Question 8 of 8
8. Question
Graph `y=-4-4x`Correct
Nice Job!
Incorrect
Gradient Intercept Form: `y=mx+b`
- `m` is the gradient of the line
- `b` is the y-intercept (where the line cuts the y-axis)
For: `y=-4-4x`The gradient `(m)` is `-4` and the y-intercept `(b)` is `-4`.First, plot the y-intercept `(-4)`
Use the gradient `m=-4` to plot the next point.The gradient 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` units, then run `1` unit to the right
Now we can graph the equation
Quizzes
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint of a Line 1
- Midpoint of a Line 2
- Midpoint of a Line 3
- Gradient of a Line 1
- Gradient of a Line 2
- Gradient Intercept Form: Graph an Equation 1
- Gradient Intercept Form: Graph an Equation 2
- Gradient Intercept Form: Write an Equation 1
- Determine if a Point Lies on a Line
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Convert Between General Form and Gradient Intercept Form 1
- Convert Between General Form and Gradient Intercept Form 2
- Point Gradient and Two Point Formula 1
- Point Gradient and Two Point Formula 2
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2