Answer: y= x/2+9
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=6−2x.
The slope of the perpendicular line is negative inverse: m=1/2.
So, the equation of the perpendicular line is y=x/2+a.
To find a, we use the fact that the line should pass through the given point: 7=(1/2)⋅(−4)+a.
Thus, a=9.
Therefore, the equation of the line is y=x/2+9.
Answer: y=x/2+9.
