Line slope calculator 8x+7y=78


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[8; 2]

Calculation:

Slope: m = -1.1429

Slope-intercept form of line: y = -1.1429x+11.1429

Canonical form of the line equation: 8x+7y-78 = 0

Parametric form of the line equation:
x = 7t+1
y = -8t+10      ; t ∈ R

Slope angle of line: φ = -48°48'51″ = -0.852 rad

X intercept: x0 = 9.75

Y intercept: y0 = q = 11.1429

Distance line from the origin: d0 = 7.3376

The length of the segment AB: |AB| = 10.6301

Vector: AB = (7; -8)

Normal vector: n = (8; 7)

Midpoint of the segment AB: M = [4.5; 6]

Perpendicular Bisector equation: 7x-8y+16.5 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (8; 2) ;   |OB| = 8.2462
Scalar product OA .OB = 28
Angle ∠ AOB = 70°15'11″ = 1.2261 rad