Maths-

General

Easy

Question

# Given the equation , write an equation for a line that intersects the parabola two times.

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 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 . The corresponding graph is:

Step 2 of 2:

The line is of the form , 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.

### Related Questions to study

General

### Is Monday capitalized ?

### Is Monday capitalized ?

GeneralGeneral

General

### "Choose the synonyms to lesson"

### "Choose the synonyms to lesson"

GeneralGeneral

General

### Circle the word that described the ward in bold in each sentence

### Circle the word that described the ward in bold in each sentence

GeneralGeneral

Maths-

Maths-General

General

### Choose the synonym for "Command?

### Choose the synonym for "Command?

GeneralGeneral

General

### Complete the sentence with the best prefix

Let's re start the game after a short break

### Complete the sentence with the best prefix

Let's re start the game after a short break

GeneralGeneral

Maths-

### How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?

### How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?

Maths-General

General

### Choose the Synonym for 'Organized'?

### Choose the Synonym for 'Organized'?

GeneralGeneral

Maths-

### How are the solutions of an inequality different from the solutions of an equation ?

### How are the solutions of an inequality different from the solutions of an equation ?

Maths-General

Maths-

### Solve -5(2x-3)≤34 .

### Solve -5(2x-3)≤34 .

Maths-General

General

### Choose the synonym for 'not present'.

### Choose the synonym for 'not present'.

GeneralGeneral

General

### Chose the antonym for anachronism'.

### Chose the antonym for anachronism'.

GeneralGeneral

Maths-

### Solve -6x-5<-3(2x+1) .

Note:

If you get an inequality containing no variables, then the solution of the inequality is decided based on the numbers on either sides of the symbol.

### Solve -6x-5<-3(2x+1) .

Maths-General

Note:

If you get an inequality containing no variables, then the solution of the inequality is decided based on the numbers on either sides of the symbol.

General

### Is the word an adjective or adverb?

Sheng's painting uses a beautiful range of colors.

### Is the word an adjective or adverb?

Sheng's painting uses a beautiful range of colors.

GeneralGeneral

General

### choose the synonym for the word ‘traits’

### choose the synonym for the word ‘traits’

GeneralGeneral