Line slope calculator 6x-8y=-32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 4] and B[8; 10]

Calculation:

Slope: m = 0.75

Slope-intercept form of line: y = 0.75x+4

Canonical form of the line equation: 6x-8y+32 = 0

Parametric form of the line equation:
x = 8t
y = 6t+4      ; t ∈ R

Slope angle of line: φ = 36°52'12″ = 0.6435 rad

X intercept: x0 = -5.3333

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.2

The length of the segment AB: |AB| = 10

Vector: AB = (8; 6)

Normal vector: n = (6; -8)

Midpoint of the segment AB: M = [4; 7]

Perpendicular Bisector equation: 8x+6y-74 = 0

Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 40
Angle ∠ AOB = 38°39'35″ = 0.6747 rad