Line slope calculator 7x+4y=61


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[7; 3]

Calculation:

Slope: m = -1.75

Slope-intercept form of line: y = -1.75x+15.25

Canonical form of the line equation: 7x+4y-61 = 0

Parametric form of the line equation:
x = 4t+3
y = -7t+10      ; t ∈ R

Slope angle of line: φ = -60°15'18″ = -1.0517 rad

X intercept: x0 = 8.7143

Y intercept: y0 = q = 15.25

Distance line from the origin: d0 = 7.5661

The length of the segment AB: |AB| = 8.0623

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

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

Perpendicular Bisector equation: 4x-7y+25.5 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 51
Angle ∠ AOB = 50°6'8″ = 0.8744 rad