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# gcse maths algebra problem Watch

1. hi can anybody work our the gradient of the line? i believe its 1.5 now but im not sure how to get there, thanks
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2. Hi,

To work out the gradient pick two points on the line: I chose (0,2) & (4,8)

Difference in y = 2-8=-6

Difference in x
= 0-4=-4

= -6/-4

=1.5

Hope this helps you
3. (Original post by ThePremierLeague)
hi can anybody work our the gradient of the line? i believe its 1.5 now but im not sure how to get there, thanks
I'm getting 6/4 as the best match.
Which is 1.5

Gradient = change in y/ change in x

So ideally you would find 2 points that the line goes through and divide the height between those 2 points by the width between those 2 points.
4. (Original post by ThePremierLeague)
hi can anybody work our the gradient of the line? i believe its 1.5 now but im not sure how to get there, thanks
Pick any two points on the line, conveniently you should choose two points which go through the corner of a square so the x and y values are exact. So choose (0,2) and (4,8). The gradient of a line is given by:

so in your case:

Which is as you required.
5. (Original post by dontbtz)
Pick any two points on the line, conveniently you should choose two points which go through the corner of a square so the x and y values are exact. So choose (0,2) and (4,8). The gradient of a line is given by:

so in your case:

Which is as you required.

hi thanks for the response however...

taking your coordinates into consideration (0,2) and (4,8)...

im counting across = 8
then counting up = 6

so im calculating 6/8 = 0.75.

im failing to see where im going wrong :/
6. (Original post by ThePremierLeague)
hi thanks for the response however...

taking your coordinates into consideration (0,2) and (4,8)...

im counting across = 8
then counting up = 6

so im calculating 6/8 = 0.75.

im failing to see where im going wrong :/
I find it easier to think of it this way: difference in y-coordinates divided by difference in x-coordinates

8-2/4-0 which gives you 6/4=1.5

make sure you're subtracting the right way round too.
7. (Original post by ThePremierLeague)
hi thanks for the response however...

taking your coordinates into consideration (0,2) and (4,8)...

im counting across = 8
then counting up = 6

so im calculating 6/8 = 0.75.

im failing to see where im going wrong :/
you aren't going across 8, your going across 4. 4-0=4
you are going up 6!
6/4=1.5
8. (Original post by Blake-inator)
you aren't going across 8, your going across 4. 4-0=4
you are going up 6!
6/4=1.5
Was about to say this , you're just counting squares, you have to take the scale in to acount. Not every graph represents 1 square as 1, in this case 1 square is 0.5, so 8 squares is 4 units. Therefore its 6/4= 1.5

Just use change in y/change in x it saves time and its good practice because if you go on to do a level maths that up/across won't work.

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