Find the Slope -9/5X+3/5Y=2

$- \frac{9}{5} X + \frac{3}{5} Y = 2$

Step 1

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.

$y = m x + b$

Simplify the left side.

Simplify each term.

Combine $X$ and $\frac{9}{5}$ .

$- \frac{X \cdot 9}{5} + \frac{3}{5} Y = 2$

Move $9$ to the left of $X$ .

$- \frac{9 \cdot X}{5} + \frac{3}{5} Y = 2$

Combine $\frac{3}{5}$ and $Y$ .

$- \frac{9 X}{5} + \frac{3 Y}{5} = 2$

Add $\frac{9 X}{5}$ to both sides of the equation.

$\frac{3 Y}{5} = 2 + \frac{9 X}{5}$

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} \cdot \frac{3 Y}{5} = \frac{5}{3} (2 + \frac{9 X}{5})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} \cdot \frac{3 Y}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 Y}{5} = \frac{5}{3} (2 + \frac{9 X}{5})$

Rewrite the expression.

$\frac{1}{3} (3 Y) = \frac{5}{3} (2 + \frac{9 X}{5})$

Cancel the common factor of $3$ .

Factor $3$ out of $3 Y$ .

$\frac{1}{3} (3 (Y)) = \frac{5}{3} (2 + \frac{9 X}{5})$

Cancel the common factor.

$\frac{1}{3} (3 Y) = \frac{5}{3} (2 + \frac{9 X}{5})$

Rewrite the expression.

$Y = \frac{5}{3} (2 + \frac{9 X}{5})$

Simplify the right side.

Simplify $\frac{5}{3} (2 + \frac{9 X}{5})$ .

Apply the distributive property.

$Y = \frac{5}{3} \cdot 2 + \frac{5}{3} \cdot \frac{9 X}{5}$

Multiply $\frac{5}{3} \cdot 2$ .

Combine $\frac{5}{3}$ and $2$ .

$Y = \frac{5 \cdot 2}{3} + \frac{5}{3} \cdot \frac{9 X}{5}$

Multiply $5$ by $2$ .

$Y = \frac{10}{3} + \frac{5}{3} \cdot \frac{9 X}{5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$Y = \frac{10}{3} + \frac{5}{3} \cdot \frac{9 X}{5}$

Rewrite the expression.

$Y = \frac{10}{3} + \frac{1}{3} (9 X)$

Cancel the common factor of $3$ .

Factor $3$ out of $9 X$ .

$Y = \frac{10}{3} + \frac{1}{3} (3 (3 X))$

Cancel the common factor.

$Y = \frac{10}{3} + \frac{1}{3} (3 (3 X))$

Rewrite the expression.

$Y = \frac{10}{3} + 3 X$

Reorder $\frac{10}{3}$ and $3 X$ .

$Y = 3 X + \frac{10}{3}$

Step 2

Using the slope-intercept form, the slope is $3$ .

$m = 3$

Step 3

Find the Slope -9/5X+3/5Y=2

Related Questions

Support LCMGCF.com by disabling your adblocker.