Straight line graphs - Quiz 3.    Question

Question 1

Which of the following points lie on the line  

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again,     is not on the line but   is.

Your answer is correct.

  and     are on the line since
  and  

Not correct. Choice (c) is false.

Try again,     is not on the line but     is on the line

Not correct. Choice (d) is false.

  is on the line but     is not.

Question 2

What is the gradient, of the line between the points    and  

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, recalling that 

Not correct. Choice (b) is false.

Try again and watch negative signs.

Your answer is correct.

Not correct. Choice (d) is false.

Try again, recalling that    and watching negative signs.

Question 3

What is the equation of the line between the two points    and  

a)				b)
c)				d)

 

Your answer is correct.

  and so  and we have that
  and so
  hence   and  

Not correct. Choice (b) is false.

Try again, watching signs carefully.

Not correct. Choice (c) is false.

Try again,     is not on this line. You should try and calculate the equation of the line.

Not correct. Choice (d) is false.

Try again, and check the gradient.

Question 4

What is the gradient, and -intercept, of the line  

a)		and
b)		and
c)		and
d)		and

 

Not correct. Choice (a) is false.

Try again, you need to rearrange the equation to the form and then you can read the answer from the equation. You have just found the coefficient of for the gradient and the constant term for

Your answer is correct.

We need to rearrange the equation to    and then see that
  and     and 

Not correct. Choice (c) is false.

Try again, looking carefully at the signs.

Not correct. Choice (d) is false.

Try again, you need to rearrange the equation to the form     and then you can read the answer from the equation. You seem to have made     the subject of the equation.

Question 5

What is the equation of the line below?

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, we know at least two points on the line     and   so we can use these to find the equation of the line.

Your answer is correct.

There are many ways of calculating the correct line but it passes through the points     and     so
  and the  -intercept is 1 so     which can be rearranged to
  and hence  

Not correct. Choice (c) is false.

Try again, look at the sign of the gradient.

Not correct. Choice (d) is false.

Try again, look at the gradient.