Answer:
the slope intercept form for the line is
.
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:
![(y-y_1)=m(x-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/20o4meve23kz29ft9ldq16hk9naufgor7m.png)
Substitute the respective values in the above formula.
![(y-6)=-9(x-4)](https://img.qammunity.org/2020/formulas/mathematics/college/ea4pjpeyd9oddaci8emeu3xyx38poh64h7.png)
![y-6=-9x+36](https://img.qammunity.org/2020/formulas/mathematics/college/aq75837g7yix8f4z84yjwzvzk00vfo2w1o.png)
![y=-9x+42](https://img.qammunity.org/2020/formulas/mathematics/college/rfzo5pkov94pjlw1vlcw727p9cnquzcmyq.png)
Hence, the slope intercept form for the line is
.