Answer:
slope of line g = -9/4
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes:
m1 × m2 = -1 or [tex]m1 = -\frac{1}{m2}[/tex]
If the slope of line f = 4/9, as given the linear equation, y = 4/9x + 3/2, then the slope of line g must be -9/4. Because if you multiply both slopes, the product will be -1:
Let m1 = slope of line f = 4/9
m2 = slope of line g = -9/4
m1 × m2 = -1
[tex](\frac{4}{9}) (- \frac{9}{4})[/tex] = -1
Therefore, the slope line g = -9/4.
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