Find the Slope and y-intercept y-6=3/8x

$y - 6 = \frac{3}{8} x$

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 right side.

Combine $\frac{3}{8}$ and $x$ .

$y - 6 = \frac{3 x}{8}$

Add $6$ to both sides of the equation.

$y = \frac{3 x}{8} + 6$

Reorder terms.

$y = \frac{3}{8} x + 6$

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

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

$m = \frac{3}{8}$

$b = 6$

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

Slope: $\frac{3}{8}$

y-intercept: $(0, 6)$

Slope: $\frac{3}{8}$

y-intercept: $(0, 6)$