How do change slope-intercept form to standard form

Example. Convert y=54x+5 y = 5 4 x + 5, graphed on the right, to standard form. The only fraction is $$ / frac { 5}{ / red 4} $$ so you can multiply everything by 4. Solve for the y-intercept (or "b" in the slope interceptequation) which is 20 in this example.

Suppose you are given the slope-intercept form y = 5x - 1/16 and are to change it to standard form. Here's what you'd do:

1) multiply all 3 terms by 16 to eliminate the fraction 1/16:

16y = 80x - 1

Subtr. 16y from both sides: 0 = 80x - 16y - 1

This equation is in std. form.