Question

How do you find the slope and intercept of `y=2/3x+4`?

Answer 1

`"slope / gradient" = 2/3`

`"y-intercept" = 4`

Explanation:

The slope or gradient of a linear function is always given as the coefficient of `x` when the function of the line is expressed in the form `y = mx + c` (thus `m = "slope"`). The y-intercept is the value of `c`, which may or may not be `0` depending on the line function.

In this case, since the equation of the line is sufficiently prepared, one must simply compare the two to find the slope and intercept:

`y = mx + c`

`y = 2/3 x + 4`

`:.` `m = 2/3`

`:.` `c = 4`