To convert standard form to slope-intercept form, isolate y. Move Ax to the right side, then divide every term by B. This reveals the slope -A/B and the y-intercept C/B.
⚠Note: B cannot be zero for slope-intercept form. If B=0, the equation represents a vertical line.
How the Conversion Works
The calculator isolates y, computes the slope and intercept, then writes the result as y=mx+b.
Move Ax
Subtract Ax from both sides.
Divide by B
Divide every term by the y coefficient.
Slope
The slope becomes -A/B.
Intercept
The y-intercept becomes C/B.
💡 Example: 2x+3y=12 gives 3y=-2x+12, so y=(-2/3)x+4.
Applications of Standard to Slope Intercept Form
GraphingSlope ComparisonLinear EquationsSystems of Equations
Frequently Asked Questions
What is a standard to slope intercept calculator?▼
It converts a linear equation from Ax+By=C into y=mx+b.
What is the conversion formula?▼
From Ax+By=C, solve for y: y=(-A/B)x + C/B, when B is not zero.
How do I use this calculator?▼
Enter A, B, and C from Ax+By=C, then click Convert.
What if B equals zero?▼
If B=0, the line is vertical and cannot be written in slope-intercept form.
Where is this conversion used?▼
It is used for graphing, comparing slopes, solving systems, and linear equation homework.
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