I do have information on Method Maths at the bottom of this page. You have stumbled into the middle of the aMAZEing Math Maze. So, I will start by explaining how Question 6 should have been solved.
So, taking the original question, what happens when we double the intercept?
Again, starting with the slope intercept equation in the form of y = mx + b where m is the slope and b is the y intercept, we look at our equation. In the case of this question, m is 3 and b is 2. This is hopefully obvious looking at the two equations. If we double the y intercept, we double the b, and in this case the b = 2. So, our original equation of y = 3x + 2 becomes y = 3x + 4.
To figure out where the equations intersect the y axis, let x = 0. So in the first equation we get y = 3(0) + 2 or y = 2. So x = 0, y = 2 or the intercept is at (0,2)
In the second equation y = 3(0) + 4, the y intercept is 4 or the intercept is at (0,4)
The y intercept changed.
To find the x intercept, let y = 0. So in the first equation 0 = 3x + 2. Subtract 2 from both sides and get -2 = 3x. Divide both sides by 3 and we end up with x = -2/3. The x intercept is at (-2/3, 0).
In the second equation y = 3x + 4 we get 0 = 3x + 4. Subtract 4 from both sides and get -4 = 3x, divide both sides by three and x = -4/3. The x intercept is at (-4/3, 0).
The x intercept changed as well.
So the correct answer was a) The x-intercept and the y-intercept changed.
Hello; It turns out that Method Maths is actually a thing. And if you click on the bolded title, you will go there. The site helps you prepare for the EDEXCEL GCSE 9-1, the OCR GCSE 9-1, and the KS2 SATS. They offer a free trial and look like a really nice site U apologize if it appears that I hijacked you. This was not my intention.
However, since you are already here, why not try the aMAZEing Math Maze?