Line slope calculator 4x-5y=7


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 1] and B[8; 5]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x-1.4

Canonical form of the line equation: 4x-5y-7 = 0

Parametric form of the line equation:
x = 5t+3
y = 4t+1      ; t ∈ R

Slope angle of line: φ = 38°39'35″ = 0.6747 rad

X intercept: x0 = 1.75

Y intercept: y0 = q = -1.4

Distance line from the origin: d0 = 1.0932

The length of the segment AB: |AB| = 6.4031

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [5.5; 3]

Perpendicular Bisector equation: 5x+4y-39.5 = 0

Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 29
Angle ∠ AOB = 13°34'14″ = 0.2368 rad