Line slope calculator 7x+4y=75
Straight line given by points A[5; 10] and B[9; 3]
Calculation:
Slope: m = -1.75Slope-intercept form of line: y = -1.75x+18.75
Canonical form of the line equation: 7x+4y-75 = 0
Parametric form of the line equation:
x = 4t+5
y = -7t+10 ; t ∈ R
Slope angle of line: φ = -60°15'18″ = -1.0517 rad
X intercept: x0 = 10.7143
Y intercept: y0 = q = 18.75
Distance line from the origin: d0 = 9.3026
The length of the segment AB: |AB| = 8.0623
Vector: AB = (4; -7)
Normal vector: n = (7; 4)
Midpoint of the segment AB: M = [7; 6.5]
Perpendicular Bisector equation: 4x-7y+17.5 = 0
Vector OA = (5; 10) ; |OA| = 11.1803
Vector OB = (9; 3) ; |OB| = 9.4868
Scalar product OA .OB = 75
Angle ∠ AOB = 45° = 0.7854 rad