What are the formulas of the equation of the line?

Answer 1

y = mx + c

Is the general equation of a straight line

Where 'm' is the slope/gradient of the line and 'c' is the intercept on the y-axis.

This equation can be algebraically rearranged.

ny = mx + c

ny - mx = c

ny - mx - c = 0

or

mx - ny + c = 0

Answer 2

Standard:

Ax+By=C (A must be positive; A, B, and C must be integers)

Point-slope:

y-h=m(x-k) ((k,h) is a point on the line, m is the slope)

slope-intercept:

y=mx+b (m is the slope, b is the y-intercept)