Line slope calculator 2x+7y=74


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[9; 8]

Calculation:

Slope-intercept form of line: y = -0.2857x+10.5714

Canonical form of the line equation: 2x+7y-74 = 0

Parametric form of the line equation:
x = 7t+2
y = -2t+10      ; t ∈ R

Slope: m = -0.2857

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

X intercept: x0 = 37

Y intercept: y0 = q = 10.5714

Distance line from the origin: d0 = 10.1647

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

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

Midpoint of the segment AB: M = [5.5; 9]

Perpendicular Bisector equation: 7x-2y-20.5 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 98
Angle ∠ AOB = 37°3'24″ = 0.6468 rad