Question

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

Answer 1

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!