Question

the equation of line a is y= -8/5x + 4/3 line b is perpendicular to a what is th slope of line b​

Answer 1

Answer:

The slope of line b is  $\frac{5}{8}$

Step-by-step explanation:

• The product of the slopes of the perpendicular lines is -1

• That means if the slope of one of them is m, then the slope of the other is $-\frac{1}{m}$

• To find the slope of a perpendicular line to another line reciprocal its value and opposite its sign

• The form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

∵ The equation of line a is y = $-\frac{8}{5}$ x + $\frac{4}{3}$

→ Compare it with the form of the equation above to find m

∴ m = $-\frac{8}{5}$

∴ The slope of the line a is  $-\frac{8}{5}$

∵ 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  $-\frac{8}{5}$ is $\frac{5}{8}$

∴ The slope of line b is  $\frac{5}{8}$

To check your answer multiply the slopes they must give you -1

∵ $-\frac{8}{5}$  ×  $\frac{5}{8}$  = -1

∴ The answer is correct