Years
>
Year 10>
Coordinate Geometry>
Convert Between General Form and Gradient Intercept Form>
Convert Between General Form and Gradient Intercept Form 2Convert Between General Form and Gradient Intercept Form 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. Question
Convert this equation to Gradient Intercept Form.
`10x+3y=2`
Hint
Help VideoCorrect
Keep Going!
Incorrect
Gradient 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.`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`
Correct
Keep Going!
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 Gradient Intercept Form.
`5x-6y=2`
Hint
Help VideoCorrect
Keep Going!
Incorrect
Gradient 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.`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
4. Question
Change the following into standard form.`y=(2/5)x -3`- (2x-5y-15=0)
Hint
Help VideoCorrect
Nice Job!
Incorrect
General Formula
`ax+by+c=0`Multiply both sides by `5` to remove the fraction, then arrange the terms to match the General Formula.`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 `2x-5y-15=0` -
Question 5 of 6
5. Question
Convert this equation to Gradient Intercept Form.
`4x+2y=8`
Correct
Keep Going!
Incorrect
Gradient 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.`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 Gradient Intercept Form.
`3x-5y=-6`
Correct
Keep Going!
Incorrect
Gradient 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-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`
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