Line slope calculator 4x-y=27


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 1] and B[8; 5]

Calculation:

Slope: m = 4

Slope-intercept form of line: y = 4x-27

Canonical form of the line equation: 4x-y-27 = 0

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

Slope angle of line: φ = 75°57'50″ = 1.3258 rad

X intercept: x0 = 6.75

Y intercept: y0 = q = -27

Distance line from the origin: d0 = 6.5485

The length of the segment AB: |AB| = 4.1231

Vector: AB = (1; 4)

Normal vector: n = (4; -1)

Midpoint of the segment AB: M = [7.5; 3]

Perpendicular Bisector equation: x+4y-19.5 = 0


Vector OA = (7; 1) ;   |OA| = 7.0711
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 61
Angle ∠ AOB = 23°52'31″ = 0.4167 rad