Line slope calculator 8x-7y=10


Enter coordinates of two different points:

Straight line given by points A[3; 2] and B[10; 10]

Calculation:

Slope-intercept form of line: y = 1.1429x-1.4286

Canonical form of the line equation: 8x-7y-10 = 0

Parametric form of the line equation:
x = 7t+3
y = 8t+2      ; t ∈ R

Slope: m = 1.1429

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

X intercept: x0 = 1.25

Y intercept: y0 = q = -1.4286

Distance line from the origin: d0 = 0.9407

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

Vector: AB = (7; 8)

Normal vector: n = (8; -7)

Midpoint of the segment AB: M = [6.5; 6]

Perpendicular Bisector equation: 7x+8y-93.5 = 0


Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (10; 10) ;   |OB| = 14.1421
Scalar product OA .OB = 50
Angle ∠ AOB = 11°18'36″ = 0.1974 rad