Line slope calculator 4x+7y=70


Enter coordinates of two different points:

Straight line given by points A[0; 10] and B[7; 6]

Calculation:

Slope-intercept form of line: y = -0.5714x+10

Canonical form of the line equation: 4x+7y-70 = 0

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

Slope: m = -0.5714

Slope angle of line: φ = -29°44'42″ = -0.5191 rad

X intercept: x0 = 17.5

Y intercept: y0 = q = 10

Distance line from the origin: d0 = 8.6824

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

Vector: AB = (7; -4)

Normal vector: n = (4; 7)

Midpoint of the segment AB: M = [3.5; 8]

Perpendicular Bisector equation: 7x-4y+7.5 = 0


Vector OA = (0; 10) ;   |OA| = 10
Vector OB = (7; 6) ;   |OB| = 9.2195
Scalar product OA .OB = 60
Angle ∠ AOB = 49°23'55″ = 0.8622 rad