Answer:
![y=-7](https://img.qammunity.org/2020/formulas/mathematics/high-school/hzbjf2qgu5qt8jzwckhzyjzlv5res9spmg.png)
Explanation:
The equation of the line in Slope-intercept form is:
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
Where "m" is the slope of the line and "b" is the y-intercept.
Find the slope with this formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/pj0y5tg37a7a9ase0auiwe687ez8iaw2vl.png)
Given the points (-10,-7) (3,-7), substitute values into the formula. Then:
![m=(-7-(-7))/(-10-3)\\\\m=(0)/(-13)\\\\m=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vkk999bljwuu4fivuy4t05iq5sctvkyj9n.png)
Substitute the slope and any point into
and solve for "b":
![-7=0x+b\\b=-7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wyvmevznrr7ny4ipuc80clhtmc1a8jjvyh.png)
Then, substituting "m" and "b" into the equation
, you get that the equation of this line is:
![y=0x-7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hhpszn48otmid6qenykt7wjnjc3j037nxr.png)
![y=-7](https://img.qammunity.org/2020/formulas/mathematics/high-school/hzbjf2qgu5qt8jzwckhzyjzlv5res9spmg.png)