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Answer:
Where ? = -6.
Step-by-step explanation:
We want to find the equation of a line that is perpendicular to:
And contains the point (-3, 23).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.
We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:
Substitute:
Simplify:
Distribute:
And add. Hence:
In conclusion, our equation is:
Where ? = -6.