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). 
Find the slope (m) using the slope formula: m = {{{(y2-y1)/(x2-x1)}}}
:
Assign the given coordinates as follows:
x1 = 1; y1 = 5; x2 = 7; y2 = 1
:
m = {{{((1 - 5))/((7 - 1))}}} = {{{(-4)/6}}} = {{{-2/3)}}} is the slope
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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.. 
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which looks like this:
{{{ graph( 300, 200, -4, 10, -4, 10, -(2/3)x + (17/3)) }}}
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