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.

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