Line slope calculator 6x+4y=76


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.5x+19

Canonical form of the line equation: 6x+4y-76 = 0

Parametric form of the line equation:
x = 4t+6
y = -6t+10      ; t ∈ R

Slope: m = -1.5

Slope angle of line: φ = -56°18'36″ = -0.9828 rad

X intercept: x0 = 12.6667

Y intercept: y0 = q = 19

Distance line from the origin: d0 = 10.5393

The length of the segment AB: |AB| = 7.2111

Vector: AB = (4; -6)

Normal vector: n = (6; 4)

Midpoint of the segment AB: M = [8; 7]

Perpendicular Bisector equation: 4x-6y+10 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (10; 4) ;   |OB| = 10.7703
Scalar product OA .OB = 100
Angle ∠ AOB = 37°14'5″ = 0.6499 rad