Line slope calculator 7x+2y=30


Enter coordinates of two different points:

Straight line given by points A[2; 8] and B[4; 1]

Calculation:

Slope-intercept form of line: y = -3.5x+15

Canonical form of the line equation: 7x+2y-30 = 0

Parametric form of the line equation:
x = 2t+2
y = -7t+8      ; t ∈ R

Slope: m = -3.5

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

X intercept: x0 = 4.2857

Y intercept: y0 = q = 15

Distance line from the origin: d0 = 4.1208

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

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [3; 4.5]

Perpendicular Bisector equation: 2x-7y+25.5 = 0


Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (4; 1) ;   |OB| = 4.1231
Scalar product OA .OB = 16
Angle ∠ AOB = 61°55'39″ = 1.0808 rad