Answer:
[tex]y=2x-15[/tex]
Step-by-step explanation:
1. The equation of the line in the slope-intercept form is [tex]y=3-\frac{x}{2}[/tex]
2. The slope of the perpendicular line is negative inverse: [tex]m=2[/tex]
3. So, the equation of the perpendicular line is [tex]y=2x-a[/tex]
4. To find [tex]a[/tex], the line should pass through the given point: [tex]-1=(2)(7)+a[/tex]
5. Thus, [tex]a=-15[/tex]
6. Therefore, the equation of the line is [tex]y=2x-15[/tex]
7. Answer: [tex]y=2x-15[/tex]
