SOLUTION: Would you please help me solve this question?: The constant slope of a snowpark for boarders can be modeled by the line passing through the point A(1,5) and Point B(7,1). What is

Algebra ->  Expressions-with-variables -> SOLUTION: Would you please help me solve this question?: The constant slope of a snowpark for boarders can be modeled by the line passing through the point A(1,5) and Point B(7,1). What is      Log On


   

Question 66809: Would you please help me solve this question?:
The constant slope of a snowpark for boarders can be modeled by the line passing through the point A(1,5) and Point B(7,1). What is the equation of the line that models the terrain of the snowpark? Express your answer in the form:
y = mx + b where m and b are common fractions..

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Would you please help me solve this question?:
The constant slope of a snowpark for boarders can be modeled by the line passing through the point A(1,5) and Point B(7,1).
Find the slope (m) using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
:
Assign the given coordinates as follows:
x1 = 1; y1 = 5; x2 = 7; y2 = 1
:
m = %28%281+-+5%29%29%2F%28%287+-+1%29%29 = %28-4%29%2F6 = -2%2F3%29 is the slope
:
What is the equation of the line that models the terrain of the snowpark?
Find the equation using the point/slope equation: y - y1 = m(x - x1)
:
y - 5 = -(2/3)(x - 1)
y - 5 = -(2/3)x + (2/3)
y = -(2/3)x + (2/3) + 5
y = -(2/3)x + 5 2/3
Which is Expressed in the form:
y = mx + b where m and b are common fractions..
:
which looks like this:
+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+10%2C+-%282%2F3%29x+%2B+%2817%2F3%29%29+
:
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