SOLUTION: Consider the points (-4,6) and (2,1). What is the slope of the line connecting these points? What is the equation of the line connecting these points?

Algebra ->  Expressions-with-variables -> SOLUTION: Consider the points (-4,6) and (2,1). What is the slope of the line connecting these points? What is the equation of the line connecting these points?      Log On


   

Question 141995: Consider the points (-4,6) and (2,1).
What is the slope of the line connecting these points? What is the equation of the line connecting these points?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the points (-4,6) and (2,1).
What is the slope of the line connecting these points?
:
Assign the given points:
x1 = -4; y1 = 6
x2 = 2; y2 = 1
:
Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %281+-+6%29%2F%282+-%28-4%29%29
m = %281+-+6%29%2F%282+%2B+4%29%29; minus a minus is a plus
m = -5%2F6 is the slope
:
:
What is the equation of the line connecting these points?
:
Use the point/slope formula; y - y1 = m(x - x1)
:
y - 6 = -5%2F6(x - (-4))
y - 6 = -5%2F6(x + 4)
y - 6 = -5%2F6x - 20%2F6
y = -5%2F6x - 10%2F3 + 6
y = -5%2F6x - 10%2F3 + 18%2F3
y = -5%2F6x + 8%2F3