To find the equation of a line in slope-intercept form, which is [tex]\( y = mx + b \)[/tex], we need two pieces of information: the slope [tex]\( m \)[/tex] and the y-intercept [tex]\( b \)[/tex].
Given:
- The slope [tex]\( m \)[/tex] is [tex]\(\frac{3}{8}\)[/tex].
- The y-intercept, which is the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex], is 6. Thus, [tex]\( b = 6 \)[/tex].
Substituting these values into the slope-intercept form, we get:
[tex]\[ y = \frac{3}{8}x + 6 \][/tex]
Therefore, the equation of the line in slope-intercept form is [tex]\( y = \frac{3}{8}x + 6 \)[/tex].
