Answer:
10) The equation of a line parallel to
passing through the coordinate (2,6) is
![y=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jhtozgvvhmtz2zmnl0yecx99jhilzs0e6k.png)
11) The equation of a line perpendicular to
passing through the coordinate (2,6) is
![x=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iytjkob8c453cdntkigo6vyjyk3yzlat9o.png)
12) The equation of a line parallel to
passing through the coordinate (-2,3) is
![x=-2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q5l1a129xgxi5i1ksv4a87pka5x7u0p9nt.png)
13) The equation of a line perpendicular to
passing through the coordinate (-2,3) is
![y=3](https://img.qammunity.org/2020/formulas/mathematics/high-school/bz4oxcswmw3r7gvwn866nuoh3alxt85uy3.png)
Explanation:
For any line parallel to X-axis the equation we have
![y=a](https://img.qammunity.org/2020/formulas/mathematics/high-school/29hc4x5kqmaxxupdex46mequur9x1lsutm.png)
where a is the y coordinate.
∴ The equation of a line parallel to
passing through the coordinate (2,6) is
![y=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jhtozgvvhmtz2zmnl0yecx99jhilzs0e6k.png)
For any line parallel to Y-axis the equation we have
![x=b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wxh7stclkso3qozlm78sg1tzv7670xl6uc.png)
Where b is the x coordinate.
∴ The equation of a line parallel to
passing through the coordinate (-2,3) is
For any line perpendicular to X-axis is parallel to Y axis therefore the equation we have
![x=b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wxh7stclkso3qozlm78sg1tzv7670xl6uc.png)
∴ The equation of a line perpendicular to
passing through the coordinate (2,6) is
![x=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iytjkob8c453cdntkigo6vyjyk3yzlat9o.png)
For any line perpendicular to Y-axis is parallel to X axis therefore the equation we have
![y=a](https://img.qammunity.org/2020/formulas/mathematics/high-school/29hc4x5kqmaxxupdex46mequur9x1lsutm.png)
∴ The equation of a line perpendicular to
passing through the coordinate (-2,3) is
![y=3](https://img.qammunity.org/2020/formulas/mathematics/high-school/bz4oxcswmw3r7gvwn866nuoh3alxt85uy3.png)