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

$3 x - 4 y = - 4$
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 $\frac{3}{4} x$ from both sides of the equation: $- \frac{3}{4} x + y = 1$. Because $a$ (ax + by = c) must be a positive integer, multiply each value in the equation by $- 4$: $- 4 \cdot \left(- \frac{3}{4} x + y = 1\right) \to 3 x - 4 y = - 4.$ This is the final equation in standard form.
$- \frac{a}{b}$ in your standard form equation should be equal to the slope of the line. Thus the slope is equal to $\frac{3}{4}$.