To write the equation of a line, we use the slope-intercept form, which is:
[tex]\[ y = mx + b \][/tex]
Here, [tex]\( m \)[/tex] represents the slope of the line, and [tex]\( b \)[/tex] represents the y-intercept.
Given:
- The slope [tex]\( m = -\frac{5}{6} \)[/tex]
- The y-intercept is [tex]\( b = -7 \)[/tex]. This means the line crosses the y-axis at [tex]\( (0, -7) \)[/tex].
Substitute the given values into the slope-intercept form:
[tex]\[ y = \left( -\frac{5}{6} \right) x - 7 \][/tex]
So, the equation of the line is:
[tex]\[ y = -\frac{5}{6} x - 7 \][/tex]
