SOLUTION: Find an equation of the line containing the given pair of points (-5,-4) and (-2,-6) the equation of the line in slope-intercept form is y=

Algebra ->  Graphs -> SOLUTION: Find an equation of the line containing the given pair of points (-5,-4) and (-2,-6) the equation of the line in slope-intercept form is y=      Log On


   

Question 414409: Find an equation of the line containing the given pair of points (-5,-4) and (-2,-6) the equation of the line in slope-intercept form is y=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-5 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=-2 and y%5B2%5D=-6.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-6--4%29%2F%28-2--5%29 Plug in y%5B2%5D=-6, y%5B1%5D=-4, x%5B2%5D=-2, and x%5B1%5D=-5


m=%28-2%29%2F%28-2--5%29 Subtract -4 from -6 to get -2


m=%28-2%29%2F%283%29 Subtract -5 from -2 to get 3


So the slope of the line that goes through the points and is m=-2%2F3


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--4=%28-2%2F3%29%28x--5%29 Plug in m=-2%2F3, x%5B1%5D=-5, and y%5B1%5D=-4


y--4=%28-2%2F3%29%28x%2B5%29 Rewrite x--5 as x%2B5


y%2B4=%28-2%2F3%29%28x%2B5%29 Rewrite y--4 as y%2B4


y%2B4=%28-2%2F3%29x%2B%28-2%2F3%29%285%29 Distribute


y%2B4=%28-2%2F3%29x-10%2F3 Multiply


y=%28-2%2F3%29x-10%2F3-4 Subtract 4 from both sides.


y=%28-2%2F3%29x-22%2F3 Combine like terms. note: If you need help with fractions, check out this solver.


So the equation that goes through the points and is y=%28-2%2F3%29x-22%2F3


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Jim