SOLUTION: A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snak

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Question 151508: A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snakes.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snakes.
:
Assign the given values as follows
x1 = 10; y1 = 6
x2 = 29; y2 = 13
:
Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2813-6%29%2F%2829-10%29 = 7%2F19
:
Find the equation using the point/slope formula: y - y1 = m(x - x1)
y - 6 = 7%2F19(x - 10)
;
y - 6 = 7%2F19x - 70%2F19
:
y = 7%2F19x - 70%2F19 + 6
:
y = 7%2F19x - 70%2F19 + 114%2F19
:
y = 7%2F19x + 44%2F19
:
Check equation by substituting 10 for x and finding y, do the same for x=29