SOLUTION: Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible. (8,6) (6,8)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible. (8,6) (6,8)      Log On


   

Question 1153744: Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible.
(8,6) (6,8)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find an equation of the line described below.
Write the equation in​ slope-intercept form​ (solved for​ y), when possible.
(8,6) (6,8)
:
Assign the given values as follows
x1=8, y1=6
x2=6, y2=8
:
Find the slope using the formula: m = %28%28y2-y1%29%29%2F%28%28x2-x1%29%29
m = %28%289-6%29%29%2F%28%286-8%29%29 = 2%2F%28-2%29 = -1 is the slope
:
Use the slope/intercept form: y - y1 = m(x- x1)
y - 6 = -1(x - 8)
y - 6 = -x + 8
y = -x + 8 + 6
y = -x + 14 is the equation is the line