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Answer:
y = 10/9x + 8/3
Explanation:
A line that is perpendicular to y = -9/10x - 10 has a slope that is the negative reciprocal. Therefore:
-9/10 --> 10/9. This is the slope of line q.
Use the formula y = mx + b where:
m = slope
x = x coordinate of point
y = y coordinate of point.
-4 = 10/9(-6) + b
-4 = -60/9 + b
Create a common denominator:
-36/9 = -60/9 + b
24/9 = b
Simplify:
b = 8/3.
Rewrite the equation:
y = 10/9x + 8/3