The line's equation is:
[tex]21x+45y=-6[/tex]To get slope and y-intercept, we have to re arrange this into slope intercept form, that is:
y = mx + b
Where
m is the slope
b is the y-intercept
Let's do this:
[tex]\begin{gathered} 21x+45y=-6 \\ 45y=-21x-6 \\ y=-\frac{21x}{45}-\frac{6}{45} \\ y=-\frac{21}{45}x-\frac{6}{45} \end{gathered}[/tex]So,
The slope is -21/45
y intercept is -6/45