Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 6
Convert this equation to Gradient Intercept Form.
Incorrect
Loaded: 0%
Progress: 0%
0:00
Gradient Intercept Form: y=y=mmx+x+bb
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, make sure the yy-term is alone on the left side.
3x+4y-203x+4y−20 |
== |
00 |
3x+4y-20-3x3x+4y−20−3x |
== |
0-3x0−3x |
Subtract 3x3x from both sides |
4y-204y−20 |
== |
-3x−3x |
4y-20+204y−20+20 |
== |
-3x+20−3x+20 |
Add 2020 to both sides |
4y4y |
== |
-3x+20−3x+20 |
Next, divide both sides by 44 so that only yy remains on the left side.
4y4y |
== |
-3x+20−3x+20 |
4y÷44y÷4 |
== |
(-3x+20)÷4(−3x+20)÷4 |
Divide both sides by 44 |
yy |
== |
-34x+5−34x+5 |
-
Question 2 of 6
Convert this equation to Gradient Intercept Form.
4x+3y=74x+3y=7
Incorrect
Gradient Intercept Form: y=mx+by=mx+b
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, make sure the yy-term is alone on the left side.
4x+3y4x+3y |
== |
77 |
4x+3y-4x4x+3y−4x |
== |
7-4x7−4x |
Subtract 4x4x from both sides |
3y3y |
== |
7-4x7−4x |
3y3y |
== |
-4x+7−4x+7 |
Rearrange |
|
|
|
Next, divide both sides by 33 so that only yy remains on the left side.
3y3y |
== |
-4x+7−4x+7 |
3y÷33y÷3 |
== |
(-4x+7)÷3(−4x+7)÷3 |
Divide both sides by 33 |
yy |
== |
-43x+73−43x+73 |
-
Question 3 of 6
Convert this equation to Gradient Intercept Form.
15x+8y=2015x+8y=20
Incorrect
Gradient Intercept Form: y=mx+by=mx+b
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, make sure the yy-term is alone on the left side.
15x+8y15x+8y |
== |
2020 |
15x+8y-15x15x+8y−15x |
== |
20-15x20−15x |
Subtract 15x15x from both sides |
8y8y |
== |
20-15x20−15x |
8y8y |
== |
-15x+20−15x+20 |
Rearrange |
|
|
|
Next, divide both sides by 88 so that only yy remains on the left side.
8y8y |
== |
-15x+20−15x+20 |
8y÷88y÷8 |
== |
(-15x+20)÷8(−15x+20)÷8 |
Divide both sides by 88 |
yy |
== |
-158x+52−158x+52 |
-
Question 4 of 6
Convert this equation to Gradient Intercept Form.
11x+5y=5611x+5y=56
Incorrect
Gradient Intercept Form: y=mx+by=mx+b
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, make sure the yy-term is alone on the left side.
11x+5y11x+5y |
== |
5656 |
11x+5y-11x11x+5y−11x |
== |
56-11x56−11x |
Subtract 11x11x from both sides |
5y5y |
== |
56-11x56−11x |
5y5y |
== |
-11x+56−11x+56 |
Rearrange |
|
|
|
Next, divide both sides by 55 so that only yy remains on the left side.
5y5y |
== |
-11x+56−11x+56 |
5y÷55y÷5 |
== |
(-11x+56)÷5(−11x+56)÷5 |
Divide both sides by 55 |
yy |
== |
-115x+565−115x+565 |
-
Question 5 of 6
Convert this equation to Gradient Intercept Form.
8x+3y=-128x+3y=−12
Incorrect
Gradient Intercept Form: y=mx+by=mx+b
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, make sure the yy-term is alone on the left side.
8x+3y8x+3y |
== |
-12−12 |
8x+3y-8x8x+3y−8x |
== |
-12-8x−12−8x |
Subtract 8x8x from both sides |
3y3y |
== |
-12-8x−12−8x |
3y3y |
== |
-8x-12−8x−12 |
Rearrange |
|
|
|
Next, divide both sides by 33 so that only yy remains on the left side.
3y3y |
== |
-8x-12−8x−12 |
3y÷33y÷3 |
== |
(-8x-12)÷3(−8x−12)÷3 |
Divide both sides by 33 |
yy |
== |
-83x-4−83x−4 |
-
Question 6 of 6
Incorrect
Loaded: 0%
Progress: 0%
0:00
Gradient Intercept Form: y=y=mmx+x+bb
- mm is the gradient of the line
- bb is the y-intercept (where the line cuts the y-axis)
First, convert the equation to Gradient Intercept Form.
x-2y-4x−2y−4 |
== |
00 |
x-2y-4x−2y−4 -x−x |
== |
00 -x−x |
Subtract xx from both sides |
-2y-4−2y−4 |
== |
-x−x |
-2y-4−2y−4 +4+4 |
== |
-x−x +4+4 |
Add 44 to both sides |
-2y−2y |
== |
-x+4−x+4 |
2y2y |
== |
x-4x−4 |
Convert the sign |
2y2y÷2÷2 |
== |
(x-4)(x−4)÷2÷2 |
Divide both sides by 22 |
|
yy |
== |
12x-212x−2 |
Next, identify the gradient and yy-intercept.
For: y=y=1212xx-2−2
The gradient (m)(m) is 1212 and the y-intercept (b)(b) is -2−2.
Now, plot the yy-intercept (-2)(−2)
Use the gradient m=12m=12 to plot the next point.
The gradient is equivalent to the rise over the run.
riserun=12riserun=12
From the yy-intercept rise up 11 unit, then run 22 units to the right
Now we can graph the equation