Respuesta :
Answer:
Line m - x=3
Line n - y=-4
Step-by-step explanation:
If a line has no y-intercept, it is a vertical line through the x-axis with the equation x=a. a is the x-value of the coordinate points. That means line m has equation x=3.
If a line has no x-intercept, it is a horizontal line through the y-axis with the equation y=b. b is the y-value of the coordinate points. That means line n has equation y=-4.
Answer:
The equation of line m is x=3 and the equation of line n is y=-4
Step-by-step explanation:
If line m has no y-intercept, then it is parallel to the y-axis. The line parallel to the y-axis has the equation [tex]x=a.[/tex] Since its x-intercept is (3, 0), then the coordinates of this point satisfy the equation of the line:
[tex]3=a.[/tex]
Hence, the equation of the line is [tex]x=3.[/tex]
If line n has no x-intercept, then it is parallel to the x-axis. The line parallel to the x-axis has the equation [tex]y=b.[/tex] Since its y-intercept is (0, -4), then the coordinates of this point satisfy the equation of the line:
[tex]-4=b.[/tex]
Hence, the equation of the line is [tex]y=-4.[/tex]