How do you find the slope and intercept of #y=-3/5x+2#?

1 Answer
Mar 13, 2018

Answer:

The slope is #-3/5# and the intercept is #2#
(by inspection; see explanation below)

Explanation:

Compare the formula with the conventional way to express a straight line, which is

#y = m x + c#

where #m# is the slope (found as the rise divided by the run of some convenient part of the line---the slope of a straight line is the same everywhere on the line) and #c# is the intercept (the value of #y# at which the line crosses the y axis.

The formula in the question is already in a form which makes it easy to compare (it is not necessary to undertake preliminary algebraic rearrangement)

#y = -3/5 x + 2#

by inspection,

#-3/5# corresponds to #m#, so this is the slope.

and

#2# corresponds to #c#, so this is the intercept.

Job done!