Rewrite the equation in Ax+By=C form.
Use integers for A,B,and C.
y+6=4(x+3)
To rewrite the equation in Ax + By = C form, we need to distribute the 4 on the right side of the equation:
y + 6 = 4(x + 3)
y + 6 = 4x + 12
Now, let's move the 4x term to the left side by subtracting 4x from both sides:
-4x + y + 6 = 12
Rearranging the terms:
y - 4x + 6 = 12
Finally, subtracting 12 from both sides:
y - 4x + 6 - 12 = 12 - 12
y - 4x - 6 = 0
So, the equation y + 6 = 4(x + 3) in Ax + By = C form is y - 4x - 6 = 0.
wrong
Apologies for the incorrect response. Let's try again:
Starting with the equation y + 6 = 4(x + 3), let's distribute the 4 on the right side:
y + 6 = 4x + 12
Now, let's move all the terms to the left side:
y - 4x = 12 - 6
Simplifying further:
y - 4x = 6
So, the equation y + 6 = 4(x + 3) in Ax + By = C form is y - 4x = 6.
To rewrite the equation in Ax + By = C form, we need to expand and simplify it first.
Let's start by simplifying the equation y + 6 = 4(x + 3):
First, distribute 4 to both terms inside the parentheses:
y + 6 = 4x + 12
Next, subtract 6 from both sides to isolate the y term:
y = 4x + 12 - 6
y = 4x + 6
Now the equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. To rewrite it in Ax + By = C form, we need to rearrange it.
Let's move all the terms to one side of the equation:
4x - y = -6
However, it's preferable to have A, B, and C as integers. To achieve this, we can multiply the entire equation by -1 to change the signs:
-4x + y = 6
Now the equation is in the form Ax + By = C, with A = -4, B = 1, and C = 6.