Question

The standard form for y = 3/4x -5/2

Answer 1

3x - 4y = 10

Explanation:

Subtract y from both sides, obtaining 5/2 = (3/4)x -1y. This is the standard form.

Alternatively, elim. the fractions by mult. all 3 terms by 4:

10 = 3x - 4y

Answer 2

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

we can do away with the denominators by simply multiplying both sides by the LCD of all fractions, in this case that'd be 4.

`\bf y=\cfrac{3}{4}x-\cfrac{5}{2}\implies \stackrel{\textit{multipliying both sides by }\stackrel{LCD}{4}}{4(y)=4\left( \cfrac{3}{4}x-\cfrac{5}{2} \right)}\implies 4y=3x-10 \\\\\\ -3x+4y=-10\implies \stackrel{\textit{standard form}}{3x-4y=10}`