SOLUTION: Find an equation of the line that satisfies the given conditions. Through (−3, 2) and (−2, −1)

Algebra ->  Equations -> SOLUTION: Find an equation of the line that satisfies the given conditions. Through (−3, 2) and (−2, −1)      Log On


   

Question 1205969: Find an equation of the line that satisfies the given conditions.
Through
(−3, 2) and (−2, −1)
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
very common exercise solved here maybe millions of times

Equation of line througn points (p,v) and (h,k);

slope is %28k-v%29%2F%28h-p%29.
If picking to use point-slope form to begin then:
y-k=%28%28k-v%29%2F%28h-p%29%29%28x-h%29;
Adjust to whatever form of equation you need.

Your example:
y-2=%28%28-1-2%29%2F%28-2-%28-3%29%29%29%28x-%28-3%29%29

y-2=-%283%2F1%29%28x%2B3%29
y-2=-3x-9
highlight%28y=-3x-7%29

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

an equation of the line is:
y=mx%2Bb
where m is a slope and b is y-intercept

since given that line passes through points (-3, 2) and (-2,+-1), use them to find a slope
m=%28-1-2%29%2F%28-2-%28-3%29%29
m=-3%2F%28-2%2B3%29
m=-3%2F1
m=-3
so far your equation is
y=-3x%2Bb ....use one point,(-3, 2), to calculate b
2=-3%28-3%29%2Bb
2=9%2Bb
2-9=b
b=-7
your equation is:
y=-3x-7