equation in standard form

Question

Write the equation in standard form

Y+4=3(x-2)

Answer 1

This one is a little more complex than your previous question. You can't simplify to Ax+By=C with parentheses, so you have to expand that term. The distributive rule says you must distribute the 3 to each term in the parentheses. 3*x=3x, and 3*2=6, so 3(x-2)=3x-6. Now, your equation is y+4=3x-6. For standard form, you don't want 3x on the right, so subtract 3x from each side. Now, you have y+4-3x=^-6. Also for standard form, you don't want +4 on the left, so subtract 4 from each side. Now, you have y-3x=^-6-4. Combining like terms gives you y-3x=^-10 because ^-6+^-4=^-10. You're almost there. Standard form is Ax+By=C, so you have to rearrange the left a little. Don't forget to move the negative sign with the 3x. Finally, the equation is ^-3x+y=^-10

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Answer 2

Standard form is Ax + By = C

 

Given: y +4 = 3(x -2)

Distributive Property: y + 4 = 3x - 6

Subtraction 4:  y = 3x -10

Subtraction 3x: -3x + y = -10

 

Standard form -3x + y = -10