ALGEBRA ONE LINEAR EQUATION

Question

How would I graph this in slope intercept form? -3x+y=3 and 4y=24-12y

Answer 1

First, start with the equation -3x+y=3.

 

Next, add 3x to both sides of the equation. 

 

y = 3x + 3

 

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Now, convert the other equation into slope-intercept form.

 

4y = 24 - 12y

 

Next, move the slope part of the equation before the intercept.

 

4y = -12y + 24

 

Finally, divide both sides of the equation by 4.

 

y = -3y + 6

 

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For the first equation, create a table and pick values for x. Next, plug these values of x into the equation.

 

x    y

-3  -6

-2  -3

-1   0

0    3

1    6

2    9

3   12

 

 

Therefore, you now have 7 coordinates to plot on a grid: (-3,-6) , (-2,-3) , (-1, 0) , (0,3) , (1,6) , (2,9) , (3,12).

 

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For the second equation, create a table and pick values for x. Next, plug these values of x into the equation.

 

 

x    y

-3  15

-2  12

-1   9

 0   6

 1   3

 2   0

 3  -3

 

Therefore, you now have 7 coordinates to plot on a grid: (-3,15) , (-2,12) , (-1, 9) , (0,6) , (1,3) , (2,0) , (3,-3).

 

 

Have fun plotting!