Answer:
y = −3x − 23
Step-by-step explanation:
The equation of the line in the slope-intercept form is y= x/3 + 6.
The slope of the perpendicular line is negative inverse: m = −3.
So, the equation of the perpendicular line is y = −3x + a.
To find a, we use the fact that the line should pass through the given point:
−2 = (−3) ⋅ (−7) + a.
Thus, a = −23.
Therefore, the equation of the line is y = −3x − 23.
Answer: y =−3x − 23
