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Read the problem. Identify what you need to know. Then use the information in the problem to solve. Show your work.
Write an equation of the line containing the points (2,4) and (0,-2) .

Respuesta :

The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

It is given that a line contains points (2,4) and (0,-2).

We have to find out the equation of the line.

What is the equation of line in slope intercept form ?

The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.

As per the question ;

Line contains points (2,4) and (0,-2)

We know that slope intercept form of line is ;

y = mx + c

∴  (2,4) and (0,-2) must satisfy the equation because the line contains them.

So ,

For x = 2 and y = 4 ;

the equation y = mx + c becomes ;

4 = 2m + c ------ ------ ------ ---- (1)

Also ;

For x = 0 and y = -2 ;

the equation y = mx + c becomes ;

-2 = 0 + c

or

c = -2

Put the value of c in equation 1 ;

i.e.,

4 = 2m - 2

2m = 6

or

m = 3

So ,

the equation of line which contains points (2,4) and (0,-2) will be ;

y = (3 × x) - 2

y = 3x -2

Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

To learn more about slope intercept form of line click here ;

https://brainly.com/question/19242017

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