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Question 1 of 6
Convert this equation to Gradient Intercept Form.
10x+3y=2
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)
First, make sure the y-term is alone on the left side.
10x+3y |
= |
2 |
10x+3y-10x |
= |
2-10x |
Subtract 10x from both sides |
3y |
= |
2-10x |
3y |
= |
-10x+2 |
Rearrange |
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|
|
Next, divide both sides by 3 so that only y remains on the left side.
3y |
= |
-10x+2 |
3y÷3 |
= |
(-10x+2)÷3 |
Divide both sides by 3 |
y |
= |
-103x+23 |
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Question 2 of 6
Convert this equation to Gradient Intercept Form.
3x-y=3
Incorrect
Slope Intercept Form: y=mx+b
- m is the gradient of the line
- 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-3x |
= |
3 -3x |
Subtract 3x from both sides |
-y |
= |
3-3x |
-y |
= |
-3x+3 |
Rearrange |
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|
|
Next, divide both sides by -1 so that only y remains on the left side.
-y |
= |
-3x+3 |
-y÷-1 |
= |
(-3x+3)÷-1 |
Divide both sides by -1 |
y |
= |
3x-3 |
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Question 3 of 6
Convert this equation to Gradient Intercept Form.
5x-6y=2
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)
First, make sure the y-term is alone on the left side.
5x-6y |
= |
2 |
5x-6y-5x |
= |
2-5x |
Subtract 5x from both sides |
-6y |
= |
2-5x |
-6y |
= |
-5x+2 |
Rearrange |
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|
Next, divide both sides by -6 so that only y remains on the left side.
-6y |
= |
-5x+2 |
-6y÷-6 |
= |
(-5x+2)÷-6 |
Divide both sides by -6 |
y |
= |
56x-13 |
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Question 4 of 6
Change the following into standard form.
Incorrect
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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 |
= |
25x-3 |
|
y×5 |
= |
(25x-3)×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 |
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Question 5 of 6
Convert this equation to Gradient Intercept Form.
4x+2y=8
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)
First, make sure the y-term is alone on the left side.
4x+2y |
= |
8 |
4x+2y-4x |
= |
8-4x |
Subtract 4x from both sides |
2y |
= |
8-4x |
2y |
= |
-4x+8 |
Rearrange |
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|
Next, divide both sides by 2 so that only y remains on the left side.
2y |
= |
-4x+8 |
2y÷2 |
= |
(-4x+8)÷2 |
Divide both sides by 2 |
y |
= |
-2x+4 |
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Question 6 of 6
Convert this equation to Gradient Intercept Form.
3x-5y=-6
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)
First, make sure the y-term is alone on the left side.
3x-5y |
= |
-6 |
3x-5y-3x |
= |
-6-3x |
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÷-5 |
= |
(-3x-6)÷-5 |
Divide both sides by -5 |
y |
= |
35x+65 |