Intersection of Two Lines Calculator

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Slope-intercept uses slope m and y-intercept b. Standard form uses coefficients A, B, C where Ax + By + C = 0.
Slope of the first line (rise over run).
The y-value where the first line crosses the y-axis.
Slope of the second line.
The y-value where the second line crosses the y-axis.
x-coordinateLines intersect
2

x value of the intersection point

y-coordinate5
ResultIntersection at (2.0000, 5.0000)
Angle between lines18.43degrees
x-coordinate2
y-coordinate5

Intersection point: (2.0000, 5.0000)

  • The two lines cross at exactly one point: (2.0000, 5.0000).
  • The acute angle between the lines at the intersection is 18.43 degrees.
  • Slope 1 is 1, Slope 2 is 2. Because the slopes differ, the lines meet at exactly one point.
  • Substitute (x, y) back into both original equations to verify the result.

Next stepTo verify, plug the x-coordinate back into each equation - both should give the same y value.

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