Question

Write this in Standard Form: image.png

Answer 1

I can't see the image — could you either attach it again or type the equation/text you want put in standard form?

Meanwhile, here are quick instructions and examples so you can do the conversion yourself:

Definition and conventions for standard form:
- Standard form of a linear equation: Ax + By = C
- Usually A, B, C are integers, A ≥ 0, and A, B, C have no common factor other than 1 (i.e., clear fractions and simplify).

Steps to convert from common forms:
1. From slope-intercept y = mx + b:
- Move mx to the left: −mx + y = b
- Multiply by the denominator(s) if m or b are fractions to clear fractions.
- If needed, multiply by −1 so A is positive.
- Reduce by the GCD of A, B, C.

Example 1:
y = (2/3)x − 4
- Move x: −(2/3)x + y = −4
- Clear fractions by multiplying by 3: −2x + 3y = −12
- Make A positive: 2x − 3y = 12

Example 2 (point-slope):
y − y1 = m(x − x1)
- Expand: y − y1 = mx − m x1
- Collect terms: −mx + y = −m x1 + y1
- Clear fractions and make A positive as above.

Horizontal/vertical lines:
- Horizontal: y = k is already in standard form: 0x + 1y = k (or just y = k)
- Vertical: x = h is standard: 1x + 0y = h (or just x = h)

If you paste the equation or reupload the image, I’ll convert it to standard form for you.