Line Calculator
This tool calculates and plots a line. Calculated properties include equation, slope, y-intercept and angle formed with x-axis.
Line Formulas
(See representation above)
Line Equation : y = m * x + p
m : slopep : y-intercept
M1 : point 1 of the line with coordinates (x1,y1)
M2 : point 2 of the line with coordinates (x2,y2)
`alpha` : angle between x-axis and the line
Its value is between -90° and 90° and has a positive sign for an increasing line (slope m > 0) and a negative sign for a decreasing line (m < 0).
`m = (y_2-y_1)/(x_2-x_1)`
`p = y_1 - m*x_1 = y_2 - m*x_2`
`alpha = arctan(m)`
`\text{distance}(M_1 , M_2)= sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`
See also
Coordinate Geometry calculators
Geometry calculators
Mathematics calculators