contestada

Write an equation in point-slope form of the line through the given point and with the given slope. (2, −5); m = 0

Respuesta :

Answer:

y=-5

Step-by-step explanation:

The point slope form of a line is [tex](y-y_1)=m(x-x_1)[/tex] where [tex]x_1=2\\y_1=-5[/tex]. We write  

[tex](y--5)=m(x-2)\\(y+5)=m(x-2)[/tex]


We know m the slope is m=0  and we substitute.

[tex](y+5)=0(x-4)[/tex]

[tex](y+5)=0\\y=-5[/tex]


The equation of line is y=-5

We have given that the point  (2, −5) and slope m=0

What is the slope point form?

The slope point form is ,

[tex]y-y_1=m(x-x_1)[/tex].

Point(2,-5)=(x,y)

x=2, and y=-5 and m=0

[tex]y-(-5)=0(x-2)\\y+5=0\\y=-5[/tex]

Therefore,we get the equation of line is y=-5

To learn more about the slope point form visit:

https://brainly.com/question/18617367