Geometry
Class 10-11

Equation of Line - Slope-Intercept

y=mx+cy = mx + c
−4−2024−10−50510
y = mx + c

Adjust Variables

Slope (m)
m =
-55
Y-intercept (c)
c =
-1010

Standard form of line equation where m is slope and c is y-intercept. Most intuitive form for graphing.

Real-World Applications

Linear regression — Best fit line for data: y = mx + c.

Economics — Cost function: Total Cost = (Variable Cost per unit × Quantity) + Fixed Cost.

Physics — Celsius to Fahrenheit: F = 1.8C + 32.

Phone bills — Monthly charge = (rate per minute × minutes) + base fee.

Taxi fares — Fare = (rate per km × distance) + base fare.

Currency conversion — INR = (exchange rate × USD) + fee.

Medicine — Drug concentration over time (linear phase).

Depreciation — Linear depreciation: Value = -d×year + initial.

Cooking — Temperature: T = rate×time + initial.

Sports — Scoring rate: Score = points/minute × time + initial.

Community Explanations

No community explanations yet. Be the first to share yours!

to write your own explanation

Community Aha! Moments

to share your insights

No insights yet. Be the first to share!

Related Formulas