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how do i solve y = 2(x+2) in straight line graphs

 May 25, 2015

Best Answer 

 #1
avatar+980 
+5

Well it depends what you are asked to find . . .

 

The intercept/gradient form is y = mx + b, where m = gradient and b = the y-intercept

so y = 2*(x + 2)     ------>    y = 2x + 4

 

so m = 2

 

the y-intercept = 4

 

To find the x-intercept we can make y = 0 . . .

 

0 = 2x + 4

2x = -4

x = -4/2 = -2

 

the x-intercept = -2

 

If you are asked to graph it, then start on a point you know (the y-intercept), which has the coordinates of (0,4). For your other point you could either use your x-intercept or another point based on your gradient. 

 

We know that m = rise/run. 2 can be written as 2/1, where for every positive unit moved on the run (x), it moves 2 on the rise (y)

 

So starting at (0,4) and moving accross 1 on the x we rise 2 on the y. So (0+1,4+2) = (1,6)

 

So you could graph it using the points (0,4) and (1,6), drawing a continuous line though them and continuing on indefinately in both directions.

 

Sorry if I am being too long winded/confusing. Here is it graphed so you can visualise it.

 

 May 26, 2015
 #1
avatar+980 
+5
Best Answer

Well it depends what you are asked to find . . .

 

The intercept/gradient form is y = mx + b, where m = gradient and b = the y-intercept

so y = 2*(x + 2)     ------>    y = 2x + 4

 

so m = 2

 

the y-intercept = 4

 

To find the x-intercept we can make y = 0 . . .

 

0 = 2x + 4

2x = -4

x = -4/2 = -2

 

the x-intercept = -2

 

If you are asked to graph it, then start on a point you know (the y-intercept), which has the coordinates of (0,4). For your other point you could either use your x-intercept or another point based on your gradient. 

 

We know that m = rise/run. 2 can be written as 2/1, where for every positive unit moved on the run (x), it moves 2 on the rise (y)

 

So starting at (0,4) and moving accross 1 on the x we rise 2 on the y. So (0+1,4+2) = (1,6)

 

So you could graph it using the points (0,4) and (1,6), drawing a continuous line though them and continuing on indefinately in both directions.

 

Sorry if I am being too long winded/confusing. Here is it graphed so you can visualise it.

 

zacismyname May 26, 2015

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