Line slope calculator 7x-8y=-24
Straight line given by points A[0; 3] and B[8; 10]
Calculation:
Slope: m = 0.875Slope-intercept form of line: y = 0.875x+3
Canonical form of the line equation: 7x-8y+24 = 0
Parametric form of the line equation:
x = 8t
y = 7t+3 ; t ∈ R
Slope angle of line: φ = 41°11'9″ = 0.7188 rad
X intercept: x0 = -3.4286
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.2577
The length of the segment AB: |AB| = 10.6301
Vector: AB = (8; 7)
Normal vector: n = (7; -8)
Midpoint of the segment AB: M = [4; 6.5]
Perpendicular Bisector equation: 8x+7y-77.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (8; 10) ; |OB| = 12.8062
Scalar product OA .OB = 30
Angle ∠ AOB = 38°39'35″ = 0.6747 rad