Line slope calculator 6x+4y=58


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[7; 4]

Calculation:

Slope-intercept form of line: y = -1.5x+14.5

Canonical form of the line equation: 6x+4y-58 = 0

Parametric form of the line equation:
x = 4t+3
y = -6t+10      ; t ∈ R

Slope: m = -1.5

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

X intercept: x0 = 9.6667

Y intercept: y0 = q = 14.5

Distance line from the origin: d0 = 8.0432

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

Vector: AB = (4; -6)

Normal vector: n = (6; 4)

Midpoint of the segment AB: M = [5; 7]

Perpendicular Bisector equation: 4x-6y+22 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 61
Angle ∠ AOB = 43°33'21″ = 0.7602 rad