SOLUTION: What is the equation of the line that passes through the points (4,-2) and (3,-5)?

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Question 818947: What is the equation of the line that passes through the points (4,-2) and (3,-5)?
Found 2 solutions by MathLover1, doodles:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (4, -2) and (x2, y2) = (3, -5).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-5--2%29%2F%283-4%29+=+3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 3%2A4+%2Bb+=+-14. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2-3%2A4+=+-14.

y=(3)x + (-14)

Your graph:

Answer by doodles(24) About Me  (Show Source):
You can put this solution on YOUR website!
For this we first need to find the slope of the line which could be represented by
%28y2+-+y1%29%2F%28x2+-+x1%29+
Since this information is given we only need to plug in the appropiate values so...
+%28-5+-+%28-2%29%29%2F+%283-4%29+
Which gives us the answer:

-3%2F-1 or simply put 3
Now that we know slope we can use the point slop formula which is:
y-y1+=+m%28x-x1%29+
once again we plug in the information:
+y-%28-2%29=+3%28x+-+4%29
Which in step will be:
+y%2B2=3x-12
then solve for y:
y=3x-14
Which is the equation for this line.