Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
Explanation:
As we know the equation of a line in a slope-intercept form of an equation is
![y = mx + b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mz6bvu74tuhpansv5wr4lvhm0e6gsu6nz7.png)
Here,
so
substituting the point (4,7) and slope m=0
![y = mx + b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mz6bvu74tuhpansv5wr4lvhm0e6gsu6nz7.png)
![7=0(4)+b](https://img.qammunity.org/2021/formulas/mathematics/high-school/8i5fyiiy81hgx5mm60u0rxsrw5w1j056vx.png)
![7=0+b](https://img.qammunity.org/2021/formulas/mathematics/high-school/whxzcge2uawwiiquw7vp7xczv3jz2ybwrr.png)
![b=7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ne5befo14isnkmqwwbqksnx0zskophirz2.png)
Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:
![y = mx + b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mz6bvu74tuhpansv5wr4lvhm0e6gsu6nz7.png)
![y=0x+7](https://img.qammunity.org/2021/formulas/mathematics/high-school/2lctdi0fddwjs3f9ypbtpw7qef98zue8jq.png)
![y=7](https://img.qammunity.org/2021/formulas/mathematics/high-school/56oz84dpi2imoesy93dms9iljhs7ozzpws.png)