How this calculation works
Find the real points where a parabola and a line meet.
THE FORMULA
Set ax²+bx+c = mx+k, then solve the resulting quadraticA worked example
y=x² and y=x+2 intersect at (−1,1) and (2,4).
Good to know
Near a repeated root, the result is sensitive to coefficient precision.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find the real points where a parabola and a line meet.
The primary result is labeled “Number of intersections”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Near a repeated root, the result is sensitive to coefficient precision.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
y=x² and y=x+2 intersect at (−1,1) and (2,4).
Which rule does this calculator apply?
Set ax²+bx+c = mx+k, then solve the resulting quadratic