Line slope calculator 8x+y=74


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 10] and B[9; 2]

Calculation:

Slope: m = -8

Slope-intercept form of line: y = -8x+74

Canonical form of the line equation: 8x+y-74 = 0

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

Slope angle of line: φ = -82°52'30″ = -1.4464 rad

X intercept: x0 = 9.25

Y intercept: y0 = q = 74

Distance line from the origin: d0 = 9.1786

The length of the segment AB: |AB| = 8.0623

Vector: AB = (1; -8)

Normal vector: n = (8; 1)

Midpoint of the segment AB: M = [8.5; 6]

Perpendicular Bisector equation: x-8y+39.5 = 0

Vector OA = (8; 10) ;   |OA| = 12.8062
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 92
Angle ∠ AOB = 38°48'41″ = 0.6774 rad