Line slope calculator 5x+7y=42


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[7; 1]

Calculation:

Slope: m = -0.7143

Slope-intercept form of line: y = -0.7143x+6

Canonical form of the line equation: 5x+7y-42 = 0

Parametric form of the line equation:
x = 7t
y = -5t+6      ; t ∈ R

Slope angle of line: φ = -35°32'16″ = -0.6202 rad

X intercept: x0 = 8.4

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 4.8824

The length of the segment AB: |AB| = 8.6023

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

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

Perpendicular Bisector equation: 7x-5y-7 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 6
Angle ∠ AOB = 81°52'12″ = 1.4289 rad