A line has a slope of -4 and includes the points (-4,4) and (-3,k). What is the value of k?

Question

I need to find the value of k.

Answer 1

The slope of the line is

 

m = (y₂ - y₁)/(x₂ - x₁)

-4 = (k - 4)/(-3 - (-4))

-4 = (k - 4)/1

 

-4 = k - 4

0 = k

Answer 2

Use the slope and points formula

 

y₂ - y₁ = m(x₂ - x₁)

 

Point 1 (-4, 4)

Point 2 (-3, k)

Slope = -4

 

Plug in values

 

k-4 = -4(-3-(-4))

k-4 = -4(-3+4)

k-4 = -4*1

k-4 = -4

k = -4+4 = 0