Line slope calculator 4x-y=27
Straight line given by points A[7; 1] and B[8; 5]
Calculation:
Slope: m = 4Slope-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