Question

How do you write `y=3/4x+1` in standard form?

Answer 1

`3x-4y=-4`

Explanation:

Equations in standard form are written: ax + by = c, where `a` is a positive integer (natural/counting number) and `b` and `c` are integers.

To write the equation, which is given in slope-intercept form, in standard form, you must first subtract `3/4x` from both sides of the equation: `-3/4 x + y = 1`. Because `a` (ax + by = c) must be a positive integer, multiply each value in the equation by `-4`: `-4* (-3/4x + y =1) -> 3x-4y=-4.` This is the final equation in standard form.

`-a/b` in your standard form equation should be equal to the slope of the line. Thus the slope is equal to `3/4`.