Line slope calculator 8x+7y=56


Enter coordinates of two different points:

Straight line given by points A[0; 8] and B[7; 0]

Calculation:

Slope-intercept form of line: y = -1.1429x+8

Canonical form of the line equation: 8x+7y-56 = 0

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

Slope: m = -1.1429

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

X intercept: x0 = 7

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 5.268

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

Vector: AB = (7; -8)

Normal vector: n = (8; 7)

Midpoint of the segment AB: M = [3.5; 4]

Perpendicular Bisector equation: 7x-8y+7.5 = 0


Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (7; 0) ;   |OB| = 7
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad