Question 76627
Since we are given the slope and the y-intercept, we have the equation in slope-intercept form: y = mx + b

m = 3/4; b (or the y-intercept) = -3
y = {{{3/4}}}x - 3


Standard form looks like this : Ax + By = C, where A, B, and C are all integer constants. Let's get y and x on the same side.

y = {{{3/4}}}x - 3

-{{{3/4}}}x + y = -3

Now we need to multiply everything by 4 so the fraction can become an integer:

4 * -{{{3/4}}}x + 4 * y = 4 * -3
-3x + 4y = -12

Since all the constants are integer values, we are done.