Line slope calculator x+4y=17


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 4] and B[5; 3]

Calculation:

Slope: m = -0.25

Slope-intercept form of line: y = -0.25x+4.25

Canonical form of the line equation: x+4y-17 = 0

Parametric form of the line equation:
x = 4t+1
y = -t+4      ; t ∈ R

Slope angle of line: φ = -14°2'10″ = -0.245 rad

X intercept: x0 = 17

Y intercept: y0 = q = 4.25

Distance line from the origin: d0 = 4.1231

The length of the segment AB: |AB| = 4.1231

Vector: AB = (4; -1)

Normal vector: n = (1; 4)

Midpoint of the segment AB: M = [3; 3.5]

Perpendicular Bisector equation: 4x-y-8.5 = 0

Vector OA = (1; 4) ;   |OA| = 4.1231
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 17
Angle ∠ AOB = 45° = 0.7854 rad