Line slope calculator 2x+7y=34


Enter coordinates of two different points:

Straight line given by points A[3; 4] and B[10; 2]

Calculation:

Slope-intercept form of line: y = -0.2857x+4.8571

Canonical form of the line equation: 2x+7y-34 = 0

Parametric form of the line equation:
x = 7t+3
y = -2t+4      ; t ∈ R

Slope: m = -0.2857

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

X intercept: x0 = 17

Y intercept: y0 = q = 4.8571

Distance line from the origin: d0 = 4.6703

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

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

Midpoint of the segment AB: M = [6.5; 3]

Perpendicular Bisector equation: 7x-2y-39.5 = 0


Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 38
Angle ∠ AOB = 41°49'13″ = 0.7299 rad