Linear Plot y = m x + c
Algebraic Expressions · Class VII
Slide slope m and intercept c, watch the line tilt and shift.
- y at x = 00
- y at x = 11
- x intercept (y=0)0
- y = m x + c
Formulas in this lab
- y at x = 0
- y at x = 1
- x intercept (y=0)
Frequently asked questions
▶What does y = mx + c mean?
It is the equation of a straight line. m is the slope (how steep the line is) and c is the y-intercept (where the line crosses the y-axis). For y = 2x + 3, the line rises 2 units for each step right and crosses y at 3.
▶How do I use the linear plot lab?
Slide slope m between -5 and 5 and intercept c between -10 and 10. The lab shows y values at x = 0 and x = 1 so you can see how the line tilts and shifts. Try m = 1, c = 0 to see the simple line y = x.
▶How is the line y = mx + c used in real life?
Auto-rickshaw fare in many Indian cities is fixed flag rate plus per-km charge, like 25 + 12x where x is km. Here m = 12 and c = 25. The lab shows how changing the per-km rate (m) tilts the cost curve while the flag rate (c) only shifts it up or down.
▶Slope vs intercept: which one moves the line?
Slope m tilts the line (steeper or flatter), while intercept c shifts the whole line up or down without changing the tilt. The lab makes this clear: change m alone and the line rotates around the y-axis; change c alone and the line slides vertically.