Question

Write an equation of the line that passes through each pair of points

( 0 , -4 ) , ( 5 , -4 )

Answer 1

y=-4

Explanation:

Since the line is horizontal, there is no slope. So, the equation only has the y-intercept, or -4.

-hope it helps

Answer 2

y = - 4

Explanation:

You have to use the equation y = m x + c to find the equation of the line.

Here,

m = slope

c = y - intercept

First you have to find the slope of the line.

We know that,

( 0 , -4 ) ⇒ ( x 1 , y 1 )

( 5 , -4 ) ⇒ ( x1 , y2 )

Now let us find the slope of the line.

m =
`(y_(1) -y_2)/(x_1-x_2)`

m =
`(-4-(-4))/(0-5)`

m =
`(-4+4)/(-5)`

`m = (0)/(-5)`

m =
`0`

Now we have to find the y - intercept.

For that, let us use ( 0 , -4 ) .

Let us find now.

y = m x + c

`-4=0*0+c`

`-4=0+c`

`-4-0=+c`

`-4=c`

Now let us find the equation of the line.

y = m x + c

y = -4

Hope this helps you :-)

Let me know if you have any other questions :-)