Line slope calculator 4x+7y=68
Straight line given by points A[3; 8] and B[10; 4]
Calculation:
Slope: m = -0.5714Slope-intercept form of line: y = -0.5714x+9.7143
Canonical form of the line equation: 4x+7y-68 = 0
Parametric form of the line equation:
x = 7t+3
y = -4t+8 ; t ∈ R
Slope angle of line: φ = -29°44'42″ = -0.5191 rad
X intercept: x0 = 17
Y intercept: y0 = q = 9.7143
Distance line from the origin: d0 = 8.4344
The length of the segment AB: |AB| = 8.0623
Vector: AB = (7; -4)
Normal vector: n = (4; 7)
Midpoint of the segment AB: M = [6.5; 6]
Perpendicular Bisector equation: 7x-4y-21.5 = 0
Vector OA = (3; 8) ; |OA| = 8.544
Vector OB = (10; 4) ; |OB| = 10.7703
Scalar product OA .OB = 62
Angle ∠ AOB = 47°38'33″ = 0.8315 rad