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Easy

Question

# Given the equation , write an equation for a line that does not intersect the parabola.

Hint:

### The equation of a line is in the form , 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 zero point.

## The correct answer is: We are asked to find the equation a line that intersects the parabola at zero point.

### Step 1 of 2:

The graph of the given parabola is:

Analyzing the graph, it does not pass through the origin. The form of a line is, ,where m is the slope and the c is the x-intercept.

Step 2 of 2:

The line y=x passes though the origin and is inclined towards the horizontal axis. It moves to infinity, without touching the parabola. So, y=x is the required line. That is m=1 and c=0.

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

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