How do you find the slope and y-intercept of 2x – 5y = –45?

1 Answer
Jul 11, 2015

Answer:

The slope is #2/5# and the #y#-intercept is at (#0,9#).

Explanation:

First, you rearrange the equation into the "slope-intercept" form to get #y# by itself on the left hand side and all the other terms on the right hand side.

#2x-5y = -45#

#-5y = -2x – 45#

#5y = 2x + 45#

#y = 2/5x + 9#

The "slope-intercept" form of a straight line equation is

#y = mx + b#,

where #m# is the slope and #b# is the #y#-intercept.

If we compare the two equations, we see that #m = 2/5# and #b = 9#.

So the slope is #2/5# and the #y#-intercept is at (#0,9#).

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