Point Slope Form Calculator

Point-Slope Form Calculator

Convert between point-slope form, slope-intercept form, and evaluation at a chosen x-value.

Last updated: June 2026 | By Patchworkr Team

Results
Point-Slope
y - 3 = 2(x - 2)
Slope-Intercept
y = 2x - 1
Standard Form
2x + -1y = 1

How It Works

Point-slope form anchors a line using one point and one slope. From that, we can derive the y-intercept and standard form.

Formula

Point-Slope
y - y1 = m(x - x1)
Slope-Intercept
y = mx + b
Standard Form
Ax + By = C

Example

With point (1, 2) and slope 3, the equation is y - 2 = 3(x - 1), which simplifies to y = 3x - 1.

FAQ

Can I enter just m and b?

Yes. If b is present, the calculator uses it directly.

Can I evaluate a y-value?

Yes, switch to Evaluate mode and enter x.

Does blank input count as zero?

No. Blank input is treated as missing, not zero.

What if the slope is zero?

The line is horizontal and y stays constant.

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