alyssagarza081
alyssagarza081 alyssagarza081
  • 22-01-2021
  • Mathematics
contestada

Write an equation of the line with the given slope that contains the given point.

a) Q(5,2), slope -2​

Respuesta :

xKelvin
xKelvin xKelvin
  • 22-01-2021

Answer:

[tex]y=-2x+12[/tex]

Step-by-step explanation:

We can use the point-slope form given by:

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

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

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

Simplify:

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

Distribute:

[tex]y-2=-2x+10[/tex]

Add 2 to both sides. Hence, our equation is:

[tex]y=-2x+12[/tex]

Answer Link

Otras preguntas

What is the slope of the line
Factor the expression 10x+12 using the GCF 10x+12=
After how many weeks will they have the same amount of money ? (picture attached)
Help me on 10 please
Who discovered atoms?​
The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant. What is the value of a? A) -16 B) -3 C) 3 D) 16
The people of Ancient Greece lived in small, isolated communities that eventually grew into large city-states. Why were these communities isolated from one anot
anabolic steroids have no medicinal use. true or false
Help me please math is so hard
How can you protect yourself from the cold