Find the slope of the line y=

Question

2
9
x+
6
13
.
Write your answer as an integer or as a simplified proper or improper fraction.

Answer 1

To find the slope of the line given in the equation $y=\frac{2}{9}x+\frac{6}{13}$, we can identify the slope by examining the equation directly.

In the slope-intercept form of a line, $y=mx+b$, $m$ represents the slope and $b$ represents the y-intercept.

From the equation:

$$y=\frac{2}{9}x+\frac{6}{13}$$

Here, the coefficient of $x$ (which is $\frac{2}{9}$) is the slope.

Thus, the slope of the line is:

$$\frac{2}{9}$$

This is already in its simplest form. Therefore, the final answer is:

$$\frac{2}{9}$$