Standard Form to Slope-Intercept Form Calculator
Easily convert linear equations from standard form (Ax + By = C) to slope-intercept form (y = mx + b) with our free online calculator. Get slope, y-intercept, and interactive graph.
The coefficient of x in Ax + By = C
The coefficient of y in Ax + By = C
The constant term in Ax + By = C
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Understanding Standard to Slope-Intercept Form
In mathematics, linear equations can be expressed in different forms. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
This tool helps you convert from standard form to slope-intercept form, making it easier to identify the slope and y-intercept of a line. The slope m represents the rate of change of y with respect to x, and the y-intercept b is the value of y when x is zero.
To convert from standard form to slope-intercept form, we rearrange the equation to solve for y. Starting with Ax + By = C, we isolate y:
- Subtract Ax from both sides: By = -Ax + C
- Divide both sides by B (assuming B ≠ 0): y = (-A/B)x + (C/B)
Thus, the slope m = -A/B and the y-intercept b = C/B. Use this calculator to quickly perform this conversion and visualize the resulting line.