SOLUTION: Input in standard form the equation of the given line. The line that passes through (-1, -3) and (2, 1)

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Question 667805: Input in standard form the equation of the given line.
The line that passes through (-1, -3) and (2, 1)

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1: Find the slope of the line that passes through those two lines.

Step 2: Put into point slope form. Choose either point. We'll choose (2,1).
%28y-y1%29+=+m%28x-x1%29
%28y-1%29+=+%284%2F3%29%28x-2%29
y-1+=+%284%2F3%29x+-+8%2F3
Since we know we're going into standard form Ax+Bx=C where A,B are integers, we know we cannot have fractional coefficients of x or y. (Since fractions are rational not integers) So, to make life easy, let's multiply the entire equation by 3 to get rid of the fractions.
3%28y-1%29+=+3%28%284%2F3%29x-8%2F3%29%29
3%28y-1%29+=+4x-8
3y-3+=+4x+-8
-4x+%2B+3y+=+-5