Step-by-step explanation:
The slope-intercept form of the equation for a line is given by
[tex]y = mx + b[/tex]
where m is the slope of the line. Since the line passes through the point (-6, 5), we can write our equation as
[tex]y = \frac{3}{2}x + b[/tex]
Putting the values of the point into our equation, we can solve for the constant b as follows:
[tex]5 = \frac{3}{2}(-6) + b[/tex]
or
[tex]b = 14[/tex]
Therefore, the slope-intercept form of the equation for the line is
[tex]y = \frac{3}{2}x + 14[/tex]
