# What is the slope of the line perpendicular to # y=-8/5x-2 #?

##### 1 Answer

Feb 14, 2016

#### Explanation:

the equation of a straight line , y = mx + c , where m represents the gradient (slope) and c , the y-intercept , is useful in that m and c may be extracted from it.

# y = -8/5 x - 2color(black)(" is in this form ") # here then

# m = -8/5 # If 2 lines are perpendicular , then the product of their gradients is - 1.

let gradient of perpendicular line be# m_1 # then

# m_1 xx -8/5 = - 1 rArr m_1 =( -1)/-(8/5) = -1 xx -5/8 = 5/8 #