The equation of the horizontal line through (-7,-3) is [tex]y = x - 3[/tex].and this can be determined by using the two-point form of a line.
Given :
The line is horizontal and passes through (-7,-3).
The following steps can be used in order to determine the equation of a line that passes through (-7,-3):
Step 1 - According to the given data, the line is horizontal which means it is parallel to the x-axis.
Step 2 - So, the horizontal line also passes through (0,-3).
Step 3 - So, the equation of a line that passes through the points (-7,-3) and (0,-3) is:
[tex]\dfrac{y+3}{x-0}=\dfrac{-3+3}{-7-0}[/tex]
Step 4 - Simplify the above expression.
[tex]y = x - 3[/tex]
So, the equation of the horizontal line through (-7,-3) is [tex]y = x - 3[/tex].
For more information, refer to the link given below:
https://brainly.com/question/2564656
