Line slope calculator 8x+3y=78


Enter coordinates of two different points:

Straight line given by points A[6; 10] and B[9; 2]

Calculation:

Slope-intercept form of line: y = -2.6667x+26

Canonical form of the line equation: 8x+3y-78 = 0

Parametric form of the line equation:
x = 3t+6
y = -8t+10      ; t ∈ R

Slope: m = -2.6667

Slope angle of line: φ = -69°26'38″ = -1.212 rad

X intercept: x0 = 9.75

Y intercept: y0 = q = 26

Distance line from the origin: d0 = 9.1292

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

Vector: AB = (3; -8)

Normal vector: n = (8; 3)

Midpoint of the segment AB: M = [7.5; 6]

Perpendicular Bisector equation: 3x-8y+25.5 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 74
Angle ∠ AOB = 46°30'27″ = 0.8117 rad