![\bold{ANSWER:}](https://img.qammunity.org/2023/formulas/mathematics/college/xcc5yufkdnqw0eib6v3f0dikfvr9n8lan6.png)
![\huge\mathrm{y=-2.75x+4}](https://img.qammunity.org/2023/formulas/mathematics/college/symbvekuka4i1v0tsel3xvbgbjlqkgw606.png)
![\bold{SOLUTION:}](https://img.qammunity.org/2023/formulas/mathematics/college/idid5t239nyd45e63clkmfo0kkkhaq5fms.png)
![\mathbb{GIVEN:}](https://img.qammunity.org/2023/formulas/mathematics/college/g28azh8kg2d56uqafzf9es1k976rztjhwz.png)
the slope
the y-intercept of a line.
![\mathbb{WE~HAVE~TO~FIND:}](https://img.qammunity.org/2023/formulas/mathematics/college/1uoh8xyqv81ax68nwfow2ty311w0yi26xa.png)
the equation of the line (and write it in Slope-Intercept Form)
What does Slope-Intercept Form look like?
![\rm{y=mx+b}](https://img.qammunity.org/2023/formulas/mathematics/college/7mwu8w0pg0il9hs553a5v7s7jtjul72no5.png)
Where
![\bold{m~stands~for~slope}](https://img.qammunity.org/2023/formulas/mathematics/college/satfn8kcttdgh261flj57qteqxc0tmfn4s.png)
![\bold{b~is~the~y-~intercept.}](https://img.qammunity.org/2023/formulas/mathematics/college/t2w2vwfvo6ded2hp0qk02dyckcapa944hh.png)
We know the slope, and we know the y-intercept of a line.
So, we can quickly identify the equation of our line.
Plug in the values:
![\rm{y=mx+b}](https://img.qammunity.org/2023/formulas/mathematics/college/7mwu8w0pg0il9hs553a5v7s7jtjul72no5.png)
![\rm{y=-2.75m+4](https://img.qammunity.org/2023/formulas/mathematics/college/jpxcub3weqjvjje0bmdv2isn2o8thp2rjw.png)
Hope you find it helpful.
Feel free to ask if you have any doubts.
![\bold{-MistySparkles^**^*}](https://img.qammunity.org/2023/formulas/mathematics/high-school/u31ckqakq60tongim6j2vd398fcbob018i.png)