Convert a linear equation to slope-intercept form y = mx + b, extracting slope and y-intercept.
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Algebra
The slope-intercept form calculator converts any linear equation into the form y = mx + b, clearly showing the slope (m) and y-intercept (b). Enter coefficients or two points to get the result.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept — the point where the line crosses the y-axis. This form makes it easy to graph a line: start at (0, b) and use the slope to find additional points.
Any non-vertical linear equation can be written in slope-intercept form. Vertical lines (x = constant) cannot because they have undefined slope.
y = mx + b
Slope-intercept form, with slope m and y-intercept b.
From standard form Ax + By = C, solve for y: y = (-A/B)x + C/B, so slope m = -A/B and intercept b = C/B. From point-slope form y - y1 = m(x - x1), distribute and add y1 to isolate y.
A worked example helps translate the slope-intercept form maths into a realistic scenario so the user can compare the headline result with a concrete set of inputs.
That matters because a result is easier to trust when the page shows how the same logic behaves in a practical case instead of leaving the formula abstract.
Frequently asked questions
Because both key properties of the line — steepness and where it crosses the y-axis — can be read directly from the equation without any rearrangement.
The equation becomes y = b, a horizontal line crossing the y-axis at b.
The safest manual check is to follow the same formula or rule one step at a time and compare that working with the calculator output. That catches sign errors, bracket mistakes, and input-order mixups without requiring any extra method beyond the underlying maths itself.
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