Question

How do change slope-intercept form to standard form

Answer 1

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.

Answer 2

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.