Line slope calculator 5x+7y=75
Straight line given by points A[1; 10] and B[8; 5]
Calculation:
Slope: m = -0.7143Slope-intercept form of line: y = -0.7143x+10.7143
Canonical form of the line equation: 5x+7y-75 = 0
Parametric form of the line equation:
x = 7t+1
y = -5t+10 ; t ∈ R
Slope angle of line: φ = -35°32'16″ = -0.6202 rad
X intercept: x0 = 15
Y intercept: y0 = q = 10.7143
Distance line from the origin: d0 = 8.7186
The length of the segment AB: |AB| = 8.6023
Vector: AB = (7; -5)
Normal vector: n = (5; 7)
Midpoint of the segment AB: M = [4.5; 7.5]
Perpendicular Bisector equation: 7x-5y+6 = 0
Vector OA = (1; 10) ; |OA| = 10.0499
Vector OB = (8; 5) ; |OB| = 9.434
Scalar product OA .OB = 58
Angle ∠ AOB = 52°17'2″ = 0.9125 rad