Write in Standard Form y=-7/5x+1

$y = - \frac{7}{5} x + 1$

The standard form of a linear equation is $A x + B y = C$ .

Multiply both sides by $5$ .

$5 y = 5 (- \frac{7}{5} x + 1)$

Simplify the right side.

Simplify $5 (- \frac{7}{5} x + 1)$ .

Simplify each term.

Combine $x$ and $\frac{7}{5}$ .

$5 y = 5 (- \frac{x \cdot 7}{5} + 1)$

Move $7$ to the left of $x$ .

$5 y = 5 (- \frac{7 x}{5} + 1)$

Simplify terms.

Apply the distributive property.

$5 y = 5 (- \frac{7 x}{5}) + 5 \cdot 1$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{7 x}{5}$ into the numerator.

$5 y = 5 \frac{- 7 x}{5} + 5 \cdot 1$

Cancel the common factor.

$5 y = 5 \frac{- 7 x}{5} + 5 \cdot 1$

Rewrite the expression.

$5 y = - 7 x + 5 \cdot 1$

Multiply $5$ by $1$ .

$5 y = - 7 x + 5$

Move all terms containing variables to the left side of the equation.

Add $7 x$ to both sides of the equation.

$5 y + 7 x = 5$

Reorder $5 y$ and $7 x$ .

$7 x + 5 y = 5$