Maths-
General
Easy

Question

Given the equation y equals x squared plus 3 x plus 2, write an equation for a line that intersects the parabola two times.

hintHint:

The equation of a line is in the form y equals m x plus c, where m is the slope of the line and c is the x-intercept.
We are asked to find the equation a line that intersects the parabola at two points.

The correct answer is: We are asked to find the equation a line that intersects the parabola at two points.


    Step 1 of 2:
    The maximum number of times a line could intersect a parabola is twice. Here, the given equation of the parabola is y equals x squared plus 3 x plus 2. The corresponding graph is:

    Step 2 of 2:
    The line is of the form y equals m x plus c, we have to find the value of m and c.
    Analyzing the graph, it is clear that y=-x is a line that cuts the graph at two points. That is, m=-1 & c=0.

     

    A line could intersect a parabola at zero point or exactly one point or two points.

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