Slope -3 and 3,-4 is on the line in standard form

Answer 1

Slope -3 and 3,-4 is on the line in standard form

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Given the slope and point on the line, you can format the point slope version of the line using the following formula:

y - y₁ = m (x - x₁)......y - (-4) = -3 (x - 3).......y+4 = -3x + 9........However, the question ask for the "Standard" form of the line which is located on multiple mate sites as the following format:

The Standard Form of a line is in the form Ax+By=C where A is a positive integer, and B, and C are integers.

....taken from emathematics.net https://www.emathematics.net/standardformofaline.php

so with that definition....we re-write...our equation...y+4 = -3x + 9....as....

3x + y = 5.....add 3x to both sides....subtract 4 from both sides.....

3x+y=5......or.......3x+y-5=0.

Answer 2

y-k= m(x-h) where m= -3, (h,k) = (3,-4)

y+4 = -3(x-3)

that's standard point slope form

or you can simplify

y= -3x + 9-4 = -3x +5, that's slope intercept form

3x + y = 5 is simplest form