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Coordinate Geometry>
Gradient Intercept Form: Graph an Equation>
Gradient Intercept Form: Graph an Equation 2Gradient Intercept Form: Graph an Equation 2
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Question 1 of 8
1. Question
Graph `y=3/4x-3`
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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=3/4x-3`The gradient `(m)` is `3/4` and the y-intercept `(b)` is `-3`.First, plot the y-intercept `(-3)`
Use the gradient `m=3/4` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(3))/(color(forestgreen)(4))`From the y-intercept rise `3` units, then run `4` units to the right
Now we can graph the equation
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Question 2 of 8
2. Question
Graph `y=-1/4x+3`
Correct
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=-1/4x+3`The gradient `(m)` is `-1/4` and the y-intercept `(b)` is `3`.First, plot the y-intercept `(3)`
Use the gradient `m=-1/4` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-1))/(color(forestgreen)(4))`From the y-intercept rise `-1` units, then run `4` units to the right
Now we can graph the equation
-
Question 3 of 8
3. Question
Graph `y=5/3x+1`
Correct
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=5/3x+1`The gradient `(m)` is `5/3` and the y-intercept `(b)` is `1`.First, plot the y-intercept `(1)`
Use the gradient `m=5/3` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(5))/(color(forestgreen)(3))`From the y-intercept rise `5` units, then run `3` units to the right
Now we can graph the equation
-
Question 4 of 8
4. Question
Graph `y=-5/8x+2`
Correct
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=-5/8x+2`The gradient `(m)` is `-5/8` and the y-intercept `(b)` is `2`.First, plot the y-intercept `(2)`
Use the gradient `m=-5/8` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-5))/(color(forestgreen)(8))`From the y-intercept move down `-5` units, then run `8` units to the right
Now we can graph the equation
-
Question 5 of 8
5. Question
Graph `y=-3x+3`
Correct
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=-3x+3`The gradient `(m)` is `-3` and the y-intercept `(b)` is `3`.First, plot the y-intercept `(3)`Use the gradient `m=-3` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-3))/(color(forestgreen)(1))`From the y-intercept move down `-3` units, then run `1` unit to the right
Now we can graph the equation
-
Question 6 of 8
6. Question
Graph `y=2x-5`
Correct
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=2x-5`The gradient `(m)` is `2` and the y-intercept `(b)` is `-5`.First, plot the y-intercept `(-5)`
Use the gradient `m=2` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(2))/(color(forestgreen)(1))`From the y-intercept rise `2` units, then run `1` units to the right
Now we can graph the equation
-
Question 7 of 8
7. Question
Graph `y=4/5x+3`
Correct
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=4/5x+3`The gradient `(m)` is `4/5` and the y-intercept `(b)` is `3`.First, plot the y-intercept `(3)`Use the gradient `m=4/5` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(4))/(color(forestgreen)(5))`From the y-intercept rise `4` units, then run `5` units to the right
Now we can graph the equation
-
Question 8 of 8
8. Question
Graph `y=-3/8x-4`
Correct
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=-3/8x-4`The gradient `(m)` is `-3/8` and the y-intercept `(b)` is `-4`.First, plot the y-intercept `(-4)`
Use the gradient `m=-3/8` to plot the next point.The gradient is equivalent to the rise over the run.`(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-3))/(color(forestgreen)(8))`From the y-intercept rise `-3` units, then run `8` units 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