Find the Slope and y-intercept y/3-2x+4=5

$\frac{y}{3} - 2 x + 4 = 5$

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Move all terms not containing $y$ to the right side of the equation.

Add $2 x$ to both sides of the equation.

$\frac{y}{3} + 4 = 5 + 2 x$

Subtract $4$ from both sides of the equation.

$\frac{y}{3} = 5 + 2 x - 4$

Subtract $4$ from $5$ .

$\frac{y}{3} = 2 x + 1$

Multiply both sides of the equation by $3$ .

$3 \frac{y}{3} = 3 (2 x + 1)$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{y}{3} = 3 (2 x + 1)$

Rewrite the expression.

$y = 3 (2 x + 1)$

Simplify the right side.

Simplify $3 (2 x + 1)$ .

Apply the distributive property.

$y = 3 (2 x) + 3 \cdot 1$

Multiply.

Multiply $2$ by $3$ .

$y = 6 x + 3 \cdot 1$

Multiply $3$ by $1$ .

$y = 6 x + 3$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 6$

$b = 3$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $6$

y-intercept: $(0, 3)$

Slope: $6$

y-intercept: $(0, 3)$