Answer:
![y = -3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4tc2wancrocvdtywr376jqxmqfyoiw2n5o.png)
Explanation:
Given:
(-2,-3);
(3,-3)
Required:
Equation of the line that passes through both points on a graph
SOLUTION:
Equation of the line can be represented in slope-intercept form as
![y = mx + b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mz6bvu74tuhpansv5wr4lvhm0e6gsu6nz7.png)
Where,
m = slope of the line. Since the line is horizontal, the slope is 0 as with all horizontal lines. Therefore, m = 0
b = y-intercept value, which is the point at which the line intercepts the y-axis. the line intercepts the y-axis at -3. Therefore, b = -3.
Now, substitute m = 0 and b = -3 into
![y = mx + b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mz6bvu74tuhpansv5wr4lvhm0e6gsu6nz7.png)
![y = (0)x + (-3)](https://img.qammunity.org/2021/formulas/mathematics/college/jolhpyp2plkdmt15fo8bctgzew9iyqwhwk.png)
![y = 0 - 3](https://img.qammunity.org/2021/formulas/mathematics/college/vuddx4heua9li4h52m0docu9s09fcxlavt.png)
![y = -3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4tc2wancrocvdtywr376jqxmqfyoiw2n5o.png)