Line slope calculator 3x+8y=30


Enter coordinates of two different points:

Straight line given by points A[2; 3] and B[10; 0]

Calculation:

Slope-intercept form of line: y = -0.375x+3.75

Canonical form of the line equation: 3x+8y-30 = 0

Parametric form of the line equation:
x = 8t+2
y = -3t+3      ; t ∈ R

Slope: m = -0.375

Slope angle of line: φ = -20°33'22″ = -0.3588 rad

X intercept: x0 = 10

Y intercept: y0 = q = 3.75

Distance line from the origin: d0 = 3.5112

The length of the segment AB: |AB| = 8.544

Vector: AB = (8; -3)

Normal vector: n = (3; 8)

Midpoint of the segment AB: M = [6; 1.5]

Perpendicular Bisector equation: 8x-3y-43.5 = 0


Vector OA = (2; 3) ;   |OA| = 3.6056
Vector OB = (10; 0) ;   |OB| = 10
Scalar product OA .OB = 20
Angle ∠ AOB = 56°18'36″ = 0.9828 rad