Aaj hum ease se 3.00 x ko graph karne ka tariqa seekhain ge. Ye equation asal mein y = 3 – x hai, jise hum slope-intercept form se samajhte hain. 3.00 x keyword ko hum har stage par naturally integrate karte hue explain karenge.
1. Equation Ka Form
y = 3 – x ko hum slope-intercept form y = mx + b mein likhte hain:
y = –1·x + 3
Yahan slope (m) = –1, aur y-intercept (b) = 3.
Yani “3.00 x” mein 3 base point hai aur x ka coefficient negative hai.
2. Slope aur Y-Intercept Kya Hain?
- Slope (m) = –1, jo batata hai: x mein 1 unit badhne par y 1 unit kam ho jata hai.
- Y‑intercept (b) = 3, jahan graph y-axis se start hota hai.
Is tarah, 3.00 x ki graph straight line hogi jo y-axis par 3 se cross karegi aur slope 1 ki wajah se slope niche right se left tak hogi.
3. Points Table for 3.00 x
Graph draw karne ke liye common points yeh hain:
| x | y = 3 – x (3.00 x) |
|---|---|
| 0 | 3 |
| 1 | 2 |
| 2 | 1 |
| 3 | 0 |
In points ki madad se hum line ki shape asani se visualize kar sakte hain.
4. Graph Kaise Banayen?
- Origin par x=0, y=3 plot karein.
- Phir x=1, y=2; x=2, y=1; x=3, y=0 plot karein.
- In points ko straight line se connect karein — yeh hi hai 3.00 x ki graphical representation.
5. Shuruwati Steps (Mathway Style)
Jaise Mathway ke solver instructions hain:
- Step 1: Reorder aur identify karein x aur constant.
- Step 2: Slope-intercept form apply Karein.
- Step 3: Graph ke liye table banayein.
- Step 4: Final graph draw karein. mathway.com+10mathway.com+10mathway.com+10
6. 3.00 x Ka Future Use
- Linear modeling: future data ko estimate karne mein yeh line helpful.
- Basic algebraic skill: ye foundation hai complex functions ke liye.
- Exam prep: 3.00 x jaise simple examples se graphing ki practice hoti hai.
7. Frequently Asked Questions about 3.00 x
Q1: Kya slope kabhi positive hota?
Ji haan, 3.00 x jaisa ho agar x ka coefficient positive ho, graph upar jaiga right se.
Q2: Agar equation 3.00 x + 1 = y ho to?
To y-intercept b = 1 hota, aur slope phir bhi -1 nai balkay +1 hi ho sakta hai, depending on sign.
Q3: Is 3.00 x ko Excel mein plot kar sakte hain?
Bilkul – x-values daalein aur formula apply karke y-values compute karein, phir scatter/line chart bana lein.
Final Verdict
Equation 3.00 x (y = 3 – x) graph karna bahut asaan hai:
- Slope–intercept form se start karein
- Key points table banayein
- Line draw karein
