Line slope calculator 5x+4y=47


Enter coordinates of two different points:

Straight line given by points A[3; 8] and B[7; 3]

Calculation:

Slope-intercept form of line: y = -1.25x+11.75

Canonical form of the line equation: 5x+4y-47 = 0

Parametric form of the line equation:
x = 4t+3
y = -5t+8      ; t ∈ R

Slope: m = -1.25

Slope angle of line: φ = -51°20'25″ = -0.8961 rad

X intercept: x0 = 9.4

Y intercept: y0 = q = 11.75

Distance line from the origin: d0 = 7.3402

The length of the segment AB: |AB| = 6.4031

Vector: AB = (4; -5)

Normal vector: n = (5; 4)

Midpoint of the segment AB: M = [5; 5.5]

Perpendicular Bisector equation: 4x-5y+7.5 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 45
Angle ∠ AOB = 46°14'43″ = 0.8071 rad