SOLUTION: Write the equation of the line containing the points (-2,5) and (6,1). a. Find the slope between the two points in simplest form b. Substitute the slope into the equation

Algebra ->  Systems-of-equations -> SOLUTION: Write the equation of the line containing the points (-2,5) and (6,1). a. Find the slope between the two points in simplest form b. Substitute the slope into the equation      Log On


   

Question 579606: Write the equation of the line containing the points (-2,5) and (6,1).

a. Find the slope between the two points in simplest form

b. Substitute the slope into the equation along with one of the points listed above and solve the y-intercept

c. Rewrite the equation of the line with the slope and y-intercept
Those are my math question I need help with. Can you please help me?
Thank You, Karissa!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line containing the points (-2,5) and (6,1).
:
a. Find the slope between the two points in simplest form
Use the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the given points as follows
x1=-2; y1=5
x2=6; y2 =1
:
m = %281-5%29%2F%286-%28-2%29%29 = %28-4%29%2F8 = -1%2F2 is the slope
Use the point/slope form to write the equation
y - y1 = m(x - x1)
y - 5 = -1%2F2(x - (-2))
y - 5 = -1%2F2(x + 2)
y - 5 = -1%2F2x - 1
y = -1%2F2x - 1 + 5
y = -1%2F2x + 4, is the equation
;
:
b. Substitute the slope into the equation along with one of the points listed above and solve the y-intercept
we already did that, the y intercept occurs when x=0, therefore
y = -1%2F2(0) + 4
y = 0 + 4
y = 4 is the y intercept
c. Rewrite the equation of the line with the slope and y-intercept
y = -1%2F2x + 4