Answer:
The slope of line b is [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
∵ The equation of line a is y = [tex]-\frac{8}{5}[/tex] x + [tex]\frac{4}{3}[/tex]
→ Compare it with the form of the equation above to find m
∴ m = [tex]-\frac{8}{5}[/tex]
∴ The slope of the line a is [tex]-\frac{8}{5}[/tex]
∵ Line b is perpendicular to line h
∴ The product of their slopes = -1
→ To find the slope of b reciprocal the slope of line a and change its sign
∵ The reciprocal of and opposite sign of [tex]-\frac{8}{5}[/tex] is [tex]\frac{5}{8}[/tex]
∴ The slope of line b is [tex]\frac{5}{8}[/tex]
To check your answer multiply the slopes they must give you -1
∵ [tex]-\frac{8}{5}[/tex] × [tex]\frac{5}{8}[/tex] = -1
∴ The answer is correct
