How do you find slope and y-intercept of #-5x=8y#?

1 Answer

Put the equation into the form y = mx + b:
Where m = the slope and b = the y intercept.

Explanation:

Write the equation as # 8y = -5x # This puts #y# on the left side of the equation.

Then solve for #y # by dividing both sides by 8.

# 8/8 xx y = -5/8 xx x" " 8/8 = 1 #

y = # -5/8 xx x#

#m = -5/8# so the slope is #- 5/8#

(Think m = mountain slope , the angle of the line)

#b = 0# so the #y#- intercept is at #(0,0)#

(Think b = the beginning, the place where the line starts.)