Write the equation in standard form using integers.

y+1=4/5(x+3)

To write the equation in standard form, we begin by distributing the 4/5 to the terms inside the parentheses:

y + 1 = (4/5)(x) + (4/5)(3)

This simplifies to:

y + 1 = (4/5)x + 12/5

Next, we want to eliminate the fractions. We can achieve this by multiplying the entire equation by 5:

5(y + 1) = 5((4/5)x + 12/5)

This gives us:

5y + 5 = 4x + 12

Finally, we can rearrange the equation in standard form by moving all terms to one side:

4x - 5y = -7