Line slope calculator 7x+2y=48


Enter coordinates of two different points:

Straight line given by points A[4; 10] and B[6; 3]

Calculation:

Slope-intercept form of line: y = -3.5x+24

Canonical form of the line equation: 7x+2y-48 = 0

Parametric form of the line equation:
x = 2t+4
y = -7t+10      ; t ∈ R

Slope: m = -3.5

Slope angle of line: φ = -74°3'17″ = -1.2925 rad

X intercept: x0 = 6.8571

Y intercept: y0 = q = 24

Distance line from the origin: d0 = 6.5933

The length of the segment AB: |AB| = 7.2801

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [5; 6.5]

Perpendicular Bisector equation: 2x-7y+35.5 = 0


Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 54
Angle ∠ AOB = 41°38'1″ = 0.7266 rad