(Write each equation in standard form using integers) y – 4 = -2(x – 3)
Please show steps Thank you!
To write the equation in standard form using integers, we need to distribute the -2 to terms inside the parentheses on the right side of the equation and simplify.
Step 1: Distribute -2 to terms inside the parentheses:
y - 4 = -2x + 6
Step 2: Rearrange the equation to have the x and y terms on the same side and constant term on the other side:
-2x + y = 6 - 4
Step 3: Simplify the constant on the right side:
-2x + y = 2
Therefore, the equation in standard form using integers is -2x + y = 2.
To write the equation y – 4 = -2(x – 3) in standard form using integers, we need to eliminate the parentheses and rearrange the terms.
Step 1: Distribute the -2 to the terms inside the parentheses:
y - 4 = -2x + 6
Step 2: Move the -2x term to the left side by adding 2x to both sides:
2x + y - 4 = 6
Step 3: Move the constant term (-4) to the right side by adding 4 to both sides:
2x + y = 6 + 4
Step 4: Simplify the right side of the equation:
2x + y = 10
Thus, the equation is now in standard form using integers as 2x + y = 10.
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y-4 = -2(x-3)
y-4 = -2x+6
Now just rearrange things into the standard form: Ax+By=C