Line slope calculator 7x-8y=-24


Enter coordinates of two different points:

Straight line given by points A[0; 3] and B[8; 10]

Calculation:

Slope-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: m = 0.875

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