Enter a line in any common form and see it graphed instantly, with the slope as a fraction, both intercepts and the equation rewritten in slope-intercept, point-slope and standard form.
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Slope and intercept, a point and slope, two points or standard form.
Slopes like 2/3 stay as fractions instead of 0.666667.
Find where two lines cross and whether they are parallel or perpendicular.
Slope-intercept form y = mx + b is the quickest to graph: start at (0, b) on the y-axis and move m units up for every unit to the right. Point-slope form y − y₁ = m(x − x₁) is handy when you know one point and the slope. Standard form Ax + By = C uses whole numbers and can also describe vertical lines.
The slope through two points is the rise over the run, m = (y₂ − y₁)/(x₂ − x₁). If the two x-values are equal, the run is zero and the line is vertical, with an undefined slope and equation x = constant.
Have equal slopes and never meet.
Have slopes whose product is −1.
Have slope 0 and equation y = b.
Subtract the y-values and divide by the difference of the x-values in the same order: m = (y₂ − y₁)/(x₂ − x₁).
Solve Ax + By = C for y: y = (−A/B)x + C/B, as long as B is not zero.
Its slope is undefined because the run is zero, so it cannot be written as y = mx + b. Its equation is x = constant.
Yes. Enter values like 2/3 or -5/4 in any box.
The two equations are solved together as a pair of simultaneous linear equations.
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