We have to write the standard form, Ax+By=C, of the line that has a slope m = -6 and y-intercept b = 10.
To do that we use that information to write the slope-intercept form of the equation and then rearrange it into standard form.
The slope-intercept for the line is:
![\begin{gathered} y=mx+b \\ y=-6x+10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ox1ruokf33ru9lqxlekg6z9qn3zbi8qsnw.png)
We can then rearrange it as:
![\begin{gathered} y=-6x+10 \\ 6x+y=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tinmxgbc15fpd5wb5bxdxa9cm0bc2ijng8.png)
Answer: 6x + y = 10