Line slope calculator 7x-y=27


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 1] and B[5; 8]

Calculation:

Slope: m = 7

Slope-intercept form of line: y = 7x-27

Canonical form of the line equation: 7x-y-27 = 0

Parametric form of the line equation:
x = t+4
y = 7t+1      ; t ∈ R

Slope angle of line: φ = 81°52'12″ = 1.4289 rad

X intercept: x0 = 3.8571

Y intercept: y0 = q = -27

Distance line from the origin: d0 = 3.8184

The length of the segment AB: |AB| = 7.0711

Vector: AB = (1; 7)

Normal vector: n = (7; -1)

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

Perpendicular Bisector equation: x+7y-36 = 0

Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (5; 8) ;   |OB| = 9.434
Scalar product OA .OB = 28
Angle ∠ AOB = 43°57'30″ = 0.7672 rad