Line slope calculator 8x+5y=74


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[8; 2]

Calculation:

Slope-intercept form of line: y = -1.6x+14.8

Canonical form of the line equation: 8x+5y-74 = 0

Parametric form of the line equation:
x = 5t+3
y = -8t+10      ; t ∈ R

Slope: m = -1.6

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

X intercept: x0 = 9.25

Y intercept: y0 = q = 14.8

Distance line from the origin: d0 = 7.844

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

Vector: AB = (5; -8)

Normal vector: n = (8; 5)

Midpoint of the segment AB: M = [5.5; 6]

Perpendicular Bisector equation: 5x-8y+20.5 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (8; 2) ;   |OB| = 8.2462
Scalar product OA .OB = 44
Angle ∠ AOB = 59°15'52″ = 1.0344 rad