What is this equation in standard form 8y-16x=24
well, since the standard form is
Ax+By=C
with A positive
just work with it till that's what you have.
8y-16x=24
-16x+8y=24
16x-8y = -24
That looks ok, but A,B,C should have no common factors. So, dividing out the 8, we have
2x-y = -3
To rewrite the equation in standard form, the goal is to bring the equation into the form of Ax + By = C, where A, B, and C are integers and A is positive.
Given equation: 8y - 16x = 24
Let's start by isolating the variables on one side of the equation. To do this, let's move the term containing y to the other side:
8y = 16x + 24
Next, let's divide the entire equation by the common factor of 8 to simplify it:
y = (16/8)x + (24/8)
Simplifying further:
y = 2x + 3
Now the equation is in slope-intercept form (y = mx + b), where m represents the slope of the line and b represents the y-intercept.
To convert it to standard form, let's rearrange the equation by moving the x term to the other side:
-2x + y = 3
Now the equation is in standard form (Ax + By = C). In this case, A = -2, B = 1, and C = 3.