SOLUTION: Which is an equation of the line that passes through the points (5,2) and (10,-3)​

Algebra ->  Linear-equations -> SOLUTION: Which is an equation of the line that passes through the points (5,2) and (10,-3)​       Log On


   

Question 1182586: Which is an equation of the line that passes through the points (5,2) and (10,-3)​

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the line that passes through the points
(5,2) and
(10,-3)
​
first, use given points to find a slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-3-2%29%2F%2810-5%29
m=-5%2F5
m=-1

now use point slope formula to find equation

y-y%5B1%5D=m%28x-x%5B1%5D%29
y-2=-1%28x-5%29
y-2=-x%2B5
y=-x%2B5%2B2
y=-x%2B7