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.
:
Assign the given values as follows
x1 = 10; y1 = 6
x2 = 29; y2 = 13
:
Find the slope using the slope formula: m = {{{(y2-y1)/(x2-x1)}}}
m = {{{(13-6)/(29-10)}}} = {{{7/19}}}
:
Find the equation using the point/slope formula: y - y1 = m(x - x1)
y - 6 = {{{7/19}}}(x - 10)
;
y - 6 = {{{7/19}}}x - {{{70/19}}}
:
y = {{{7/19}}}x - {{{70/19}}} + 6
:
y = {{{7/19}}}x - {{{70/19}}} + {{{114/19}}}
:
y = {{{7/19}}}x + {{{44/19}}}
:
Check equation by substituting 10 for x and finding y, do the same for x=29