Line slope calculator 2x+7y=48


Enter coordinates of two different points:

Straight line given by points A[3; 6] and B[10; 4]

Calculation:

Slope-intercept form of line: y = -0.2857x+6.8571

Canonical form of the line equation: 2x+7y-48 = 0

Parametric form of the line equation:
x = 7t+3
y = -2t+6      ; t ∈ R

Slope: m = -0.2857

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

X intercept: x0 = 24

Y intercept: y0 = q = 6.8571

Distance line from the origin: d0 = 6.5933

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; 5]

Perpendicular Bisector equation: 7x-2y-35.5 = 0


Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (10; 4) ;   |OB| = 10.7703
Scalar product OA .OB = 54
Angle ∠ AOB = 41°38'1″ = 0.7266 rad