Answer:
10) The equation of a line parallel to [tex]y=-3[/tex] passing through the coordinate (2,6) is [tex]y=6[/tex]
11) The equation of a line perpendicular to [tex]y=-3[/tex] passing through the coordinate (2,6) is [tex]x=6[/tex]
12) The equation of a line parallel to [tex]x=4[/tex] passing through the coordinate (-2,3) is [tex]x=-2[/tex]
13) The equation of a line perpendicular to [tex]x=4[/tex] passing through the coordinate (-2,3) is [tex]y=3[/tex]
Step-by-step explanation:
For any line parallel to X-axis the equation we have
[tex]y=a[/tex]
where a is the y coordinate.
∴ The equation of a line parallel to [tex]y=-3[/tex] passing through the coordinate (2,6) is [tex]y=6[/tex]
For any line parallel to Y-axis the equation we have
[tex]x=b[/tex]
Where b is the x coordinate.
∴ The equation of a line parallel to [tex]x=4[/tex] passing through the coordinate (-2,3) is [tex]x=-2[/tex]
For any line perpendicular to X-axis is parallel to Y axis therefore the equation we have
[tex]x=b[/tex]
∴ The equation of a line perpendicular to [tex]y=-3[/tex] passing through the coordinate (2,6) is [tex]x=6[/tex]
For any line perpendicular to Y-axis is parallel to X axis therefore the equation we have
[tex]y=a[/tex]
∴ The equation of a line perpendicular to [tex]x=4[/tex] passing through the coordinate (-2,3) is [tex]y=3[/tex]
