Jacob, this is the solution:
y = 1/9x + 5
Let's recall that:
• The equation of the line in the slope-intercept form is y = x/9 + 5.
,
• Let's recall that the slope of the perpendicular line is negative inverse: m=−9.
,
• So, the equation of the perpendicular line is y = −9x + a.
,
• To find a, we use the fact that the line should pass through the given point: −5 =(−9)*(−1) + a.
Therefore, a = 14
Finally, the equation of the line is y = −9x −14.