Answer:
the slope intercept form for the line is [tex]y=-9x+42[/tex].
Step-by-step explanation:
Consider the provided points and slope.
It is given that the slope of the line is -9 and the line passing through the point (4, 6).
The slope intercept form is y=mx+c
We can find the slope by using the formula:
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the respective values in the above formula.
[tex](y-6)=-9(x-4)[/tex]
[tex]y-6=-9x+36[/tex]
[tex]y=-9x+42[/tex]
Hence, the slope intercept form for the line is [tex]y=-9x+42[/tex].
