Find Points Of Intersection of Parabola and Line - Calculator
A calculator to find the points of intersection of a parabola and a line.
Intersection of a Parabola and a Line
The equation of the parabola is of the form
\[ y = a x^2 + b x + c \]
and the equation of the line is of the slope intercept form
\[ y = m x + B \]
If \[ y = m x + B \] is substituted into \[ y = a x^2 + bx + c \] , we end up with a quadratic equation given by:
\[ m x + B = a x^2 + bx + c \]
To find the points of intersection, this calculator solves the above equation to find the x coordinates and then uses equation \[ y = m x + B \] to find the y coordinates.
Use of Points Of Intersection of Parabola and Line
1 - Enter the coefficients \( a, b \) and \( c \) then enter the slope of the line m and its y intercept \(B and then press "enter". The x and y coordinates of the two points of intersection \( P_1 \) and \( P_2 \) are displayed.
nt of intersection or no points of intersection.
Note that this problem may have two points. one point or no point of intersetcion.