May You Please Give Me The Answer:

Question

Find an equation for the line below.

(-1,3), (-3,2), and (-5,1).

Answer 1

We can select two points on the line to find its slope by using the formula:

 

y₂ - y₁

x₂ - x₁

 

Let's choose the first two points

 

3 - 2

-1 -(-3)

 

= 1/2 = the slope of the line

 

Now use the point-slope form of the equation of a line to find its equation

 

y - y₀ = m(x - x₀), where m = slope and (x₀, y₀) is a point on the line

 

Let's choose (-1, 3) as (x₀, y₀)

 

y - 3 = 1/2 (x - (-1))

 

y - 3 = 1/2 (x + 1)

 

y - 3 = 1/2 x + 1/2

 

y = 1/2 x + 7/2