Line slope calculator 7x-4y=30
Straight line given by points A[6; 3] and B[10; 10]
Calculation:
Slope: m = 1.75Slope-intercept form of line: y = 1.75x-7.5
Canonical form of the line equation: 7x-4y-30 = 0
Parametric form of the line equation:
x = 4t+6
y = 7t+3 ; t ∈ R
Slope angle of line: φ = 60°15'18″ = 1.0517 rad
X intercept: x0 = 4.2857
Y intercept: y0 = q = -7.5
Distance line from the origin: d0 = 3.721
The length of the segment AB: |AB| = 8.0623
Vector: AB = (4; 7)
Normal vector: n = (7; -4)
Midpoint of the segment AB: M = [8; 6.5]
Perpendicular Bisector equation: 4x+7y-77.5 = 0
Vector OA = (6; 3) ; |OA| = 6.7082
Vector OB = (10; 10) ; |OB| = 14.1421
Scalar product OA .OB = 90
Angle ∠ AOB = 18°26'6″ = 0.3218 rad