Standard Form to Slope-Intercept Form Calculator

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Choose which direction to convert. Standard form is Ax + By + C = 0; slope-intercept form is y = mx + b.
Coefficient of x in Ax + By + C = 0.
Coefficient of y in Ax + By + C = 0. Must not be zero for slope-intercept form to exist.
Constant term in Ax + By + C = 0.
Converted equation
y = -2/3x + 2

The equation written in the target form

Slope (m)-0.666667
Y-intercept (b)2
X-intercept3
Angle with x-axis-33.6901deg
Percent slope-66.6667%
Slope (m)-0.666667
Y-intercept (b)2
X-intercept3

Converted from standard form (Ax + By + C = 0) to slope-intercept form (y = mx + b): y = -2/3x + 2

  • The line falls from left to right (negative slope). For every 1-unit step to the right, y changes by -0.666667.
  • It crosses the y-axis at 2 (the y-intercept).
  • It crosses the x-axis at x = 3 (the x-intercept).
  • The line makes an angle of -33.6901 degrees with the positive x-axis.

Next stepTo verify, pick any x-value, substitute into the converted equation, and check that it also satisfies the original equation.

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