Line slope calculator 2x-7y=-42


Enter coordinates of two different points:

Straight line given by points A[0; 6] and B[7; 8]

Calculation:

Slope-intercept form of line: y = 0.2857x+6

Canonical form of the line equation: 2x-7y+42 = 0

Parametric form of the line equation:
x = 7t
y = 2t+6      ; t ∈ R

Slope: m = 0.2857

Slope angle of line: φ = 15°56'43″ = 0.2783 rad

X intercept: x0 = -21

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.7691

The length of the segment AB: |AB| = 7.2801

Vector: AB = (7; 2)

Normal vector: n = (2; -7)

Midpoint of the segment AB: M = [3.5; 7]

Perpendicular Bisector equation: 7x+2y-38.5 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 48
Angle ∠ AOB = 41°11'9″ = 0.7188 rad