A line goes through the points x = 2, y = 5 and x = 1, y = 17. What is the gradient of this line?
a) 4
b) 5.33
c) 12
d) 4
e) 0.25
Hi, this is the next question I am stuck on, how is this worken out?
how about this, is this, is it any similar?
A straight line has the equation y = 0.5x  12 . Which of the following is true?
a) Its gradient (slope) is ˝ and yintercept 12
b) Its gradient (slope) is 12 and yintercept 0.5
c) Its gradient (slope) is ˝ and yintercept 12
d) Its gradient (slope) is 0.5 and yintercept 12
e) Its gradient (slope) is 2 and yintercept 12
Hi, what typo? typo mistake?
I get it now.
m= 12(y answer)/3(x answer)=4! yay! plenty of thanks! thats the formula for finding out this equation?

how about this, i cant find it using that?
is there another formula for this?
2. A straight line has the equation y = 0.5x  12 . Which of the following is true?
a) Its gradient (slope) is ˝ and yintercept 12
b) Its gradient (slope) is 12 and yintercept 0.5
c) Its gradient (slope) is ˝ and yintercept 12
d) Its gradient (slope) is 0.5 and yintercept 12
e) Its gradient (slope) is 2 and yintercept 12
& also this:
3. A firm’s profit function is given by: Profit = x2 –7x –30 where x is the number of units sold. What is the firm’s breakeven point?
a)3
b)10
c)7
d)13.5
e)88
Is this how u work out the 3rd question:
30=x(squared)7*x(squared), which is 10. since 10*10=100(7*10=)70, and 10070=30, which is the break even point?
Or am i taking it too easy?
If a line is written as "y= mx+ b" (called the "slopeintercept form"!) then the slope is m and the yintercept is b.
What do you mean "which is 10"? You just wrote that that was equal to 30!& also this:
3. A firm’s profit function is given by: Profit = x2 –7x –30 where x is the number of units sold. What is the firm’s breakeven point?
a)3
b)10
c)7
d)13.5
e)88
Is this how u work out the 3rd question:
30=x(squared)7*x(squared), which is 10.
Okay, you mean that x= 10 satisfies $\displaystyle x^2 7x 30= 0$. That means that when produce 10 units, you make $0 profit. You don't make any profit but you don't lose money either. That's what "break even point" means!
Well, you seem to be ignoring definitions! You did all the algebra correctly but aren't able to decide what the answer to "what is the break even point", perhaps because you don't know what "break even point" means! Look at the definition. Then you should be able to see that you already have the answer.since 10*10=100(7*10=)70, and 10070=30, which is the break even point?
Or am i taking it too easy?
thanks so much! I get it now. this really helped alot.
It means its gradient (slope) is ˝(m) and yintercept 12(b). no working out is needed for this then? since using that slopeintercept form, y=mx+b gives you the answer straight away.
Thanks again! =)