Answer:
![y=-4x-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7otp8rhf0lyqf1f3er16pd25tm9vey5pwl.png)
Explanation:
we know that
The equation of the line in slope intercept form is equal to
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
where
m is the slope
b is the y-intercept
so
1) Find the slope of the given line
![y=10-4x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d9ruke3bynfab7ye73kys71ifp6pj8uxg2.png)
The slope is
![m=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yup0coyowvsq8zkhlmump3ck1gvu9yzhhk.png)
2) Find the y-intercept of the given line
![y=-9x-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/44uteblsxokn40dyszdhf8kkktp8q8m4ax.png)
The y-intercept is
![b=-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qvrpwo17vi00h0t5iy48k3gu2rycflvhe3.png)
therefore
The equation of the line with
![m=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yup0coyowvsq8zkhlmump3ck1gvu9yzhhk.png)
![b=-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qvrpwo17vi00h0t5iy48k3gu2rycflvhe3.png)
is equal to
![y=-4x-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7otp8rhf0lyqf1f3er16pd25tm9vey5pwl.png)