Answer:
![y-7=2(x-5)](https://img.qammunity.org/2023/formulas/mathematics/college/g6flxilxv8p6u22f4l20eh1mdr9boymj5q.png)
Step-by-step explanation:
The formula for finding the equation of a line in point-slope form is expressed as:
![y-y_0=m(x-x_0)](https://img.qammunity.org/2023/formulas/mathematics/college/ehyjo1n0rdvlf4cxbixkhiqlxiykoxywnz.png)
where:
m is the slope of the line
(x0, y0) is any point on the line
Given the following parameters
Slope "m" = 2
Points (x0, y0) = (5, 7)
Substitute the given parameters into the point-slope equation to have:
![y-7_{}=2(x-5_{})](https://img.qammunity.org/2023/formulas/mathematics/college/65oqgddzzlhsoms7uxgc82b5xcnozxrbf7.png)
This gives the equation of a line in point-slope form