Answer:
y = - 4
Step-by-step 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 = [tex]\frac{y_{1} -y_2}{x_1-x_2}[/tex]
m = [tex]\frac{-4-(-4)}{0-5}[/tex]
m = [tex]\frac{-4+4}{-5}[/tex]
[tex]m = \frac{0}{-5}[/tex]
m = [tex]0[/tex]
Now we have to find the y - intercept.
For that, let us use ( 0 , -4 ) .
Let us find now.
y = m x + c
[tex]-4=0*0+c[/tex]
[tex]-4=0+c[/tex]
[tex]-4-0=+c[/tex]
[tex]-4=c[/tex]
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 :-)
