Line slope calculator 8x+5y=66


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[7; 2]

Calculation:

Slope-intercept form of line: y = -1.6x+13.2

Canonical form of the line equation: 8x+5y-66 = 0

Parametric form of the line equation:
x = 5t+2
y = -8t+10      ; t ∈ R

Slope: m = -1.6

Slope angle of line: φ = -57°59'41″ = -1.0122 rad

X intercept: x0 = 8.25

Y intercept: y0 = q = 13.2

Distance line from the origin: d0 = 6.996

The length of the segment AB: |AB| = 9.434

Vector: AB = (5; -8)

Normal vector: n = (8; 5)

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

Perpendicular Bisector equation: 5x-8y+25.5 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (7; 2) ;   |OB| = 7.2801
Scalar product OA .OB = 34
Angle ∠ AOB = 62°44'41″ = 1.0951 rad